Think about what those relative clauses are referring to....
and that should tell you which preposition you will need/ it collocates with.
i,e; a) I gather youre talking about an experiment or research.
So you could prove something IN an experiment..
b) its a list. So you will call people FROM that list
c) you wll be given a supply/amount OF someting
The cup, ____ which I drank, was chipped.
The room, ___ which I lived, has been rented out.
think about it like this;
The cup, which I drank ____, was chipped.
The room, which I lived ____, has been rented out
its the same