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MagicRide said..
Correction: Does that mean the fin is too small?
Not necessarily.
A suitable fin size, depends on a couple of things...
a) the sail size - smaller sails produce less lift, so less lift needed from the fin
b) the boat-speed - the faster you go, the smaller the required fin for the same lift
c'ish) the board-width at the finbox - a wide board has more leverage over the fin, so a small fin is easier to spin-out.
d'ish) the conditions of water - chop size, water depth, etc
e'ish) your technique/skill - if you can lollypop/flickyspin, then you probably have leet skilz
Note that sail size also tends to define the size of board you would choose and thus depends on your weight + wind-speed. Lets ignore fin brand, as some fins are better than others. And lets ignore the fact that money doesn't grow on trees.
So... to simplify the choices, just focus on sail size and board size... that will define the size of the fin.
For a 115L board, the smallest sail is going to be a 6.0m sail - that is mostly independent of body-weight. At my body-weight (69kg) I might use that in conditions up to 20kn, vs a larger person (say 100kg) would use that up to 27kn. ( Personally I would only use that small a sail if it was gusty, because a consistent wind with a 6.0m is more fun with a smaller board. ) A 27cm is probably about right. The sail / fin choice largely independent of body-weight, in that you need enough fin-lift for those points above.
Obviously sail size, does depend on body-weight for a given wind-strength... but that is why the recommendation of "just focus on sail and board size", because people usually automatically take into account their own weight and water-state.
If it were to increase sail size to 6.5 or 7m, the fin size would increase proportionally (again, not really directly dependent on body-weight).
... what size sail are you using with this 27cm ?