In the kinematic chain shown below, the lengths of the vectors in mm are: $r_1 = -32$, $r_2 = 46$, and $r_3 = 125$.
Based on the kinematic chain shown below, what is the minimum length of $r_4$ (Bottom Dead Center BDC) enter the result rounded to the nearest tenth of a mm? (Note: The diagram shows the orientation of the mechanism for positive values of $r_1$.)