Question 4
Convex quadrilateral $M A T H$ is given with $H M / M T = 3 / 4$, and $\angle A T M = \angle M A T = \angle A H M = 60^{\circ}$. $N$ is the midpoint of $M A$, and $O$ is a point on $T H$ such that lines $M T$, $A H$, $N O$ are concurrent. Find the ratio $H O / O T$.