0.525 cm
1) Gathering the data
4 shims
1.5 cm wide
0.75 cm
0.125 cm
0.1 cm
2) Considering that we are going to place those shims, side by side, we can add them up.
0.75 + 0.125 + 0.1 = 0.975 cm
Since there has to be a fourth one we can write, subtracting from 1.5 (the width of the gap):
1.5 -0.975 = 0.525
3) So to fill that gap, we're going to need another shim whose measure is 0.525 cm