1. A horizontal beam of length $L$ and weight $\frac{W}{2}$ is suspended from the ceiling by two ropes.

One rope is attached at the left end of the beam, and the other is attached at a distance $\frac{2L}{3}$ from the left end. A load of weight $W$ is suspended from the beam at a distance $d$ from the left end, as shown. The beam is in equilibrium.

What value of $d$ ensures that the tension is equal in both ropes?