Question 73
$E$ and $F$ are points on side $AB$ of $\triangle ABC$ such that $AE = EF = FB$. $D$ is a point on the line $BC$ such that $BC$ is perpendicular to $ED$, $AD$ is perpendicular to $CF$. Suppose $\angle CFA = 3\angle BDF$. Determine the value of $\frac{DB}{DC}$.