Consider the diagram below. As shown, the forearm coordinate system $(x,Y,Z$ has its origin at the elbow, while the hand coordinate system $(u,v,w)$ has its origin at the wrist. The point $"$M$"$ has coordinates $(1\mathrm{.}5,14\mathrm{.}5,0)$ in the hand $(u,v,w)$ coordinate system. If the origin of the hand coordinate system $($at the wrist$)$ is at position $(14,25,0)$ in the forearm $(x,Y,Z)$ coordinate system, what is the location of point M in forearm coordinates $(x,Y,Z)?$

$x$

Assuming point M represents a vector pointing from the elbow to the tip of the middle finger, calculate this individual's forearm$-$hand length $($i$.$e$.,$ the linear distance between the elbow to tip of the middle finger$).$ Using the anthropometric chart linked here, if this is a male individual, at what percentile is their forearm$-$hand length?