4. Point $O$ is the center of the circumscribed circle of an acute-angled triangle $ABC$, and $H$ is the intersection point of its altitudes. It turns out that the line $OH$ is parallel to side $BC$. On the plane, a point $K$ is marked such that $ABHK$ is a parallelogram. Segments $OK$ and $AC$ intersect at point $L$. In what ratio does the perpendicular dropped from point $L$ to segment $AH$ divide $AH?$