The steady-state temperature distribution in a square plate $\mathrm{ABCD}$ is governed by the $2$-dimensional Laplace equation. The side $\mathrm{AB}$ is kept at a temperature of $100{ }^{\circ} \mathrm{C}$ and the other three sides are kept at a temperature of $0{ }^{\circ} \mathrm{C}$. Ignoring the effect of discontinuities in the boundary conditions at the corners, the steady-state temperature at the center of the plate is obtained as $T_{0}{ }^{\circ} \mathrm{C}$. Due to symmetry, the steady-state temperature at the center will be same $\left(T_{0}{ }^{\circ} \mathrm{C}\right)$, when any one side of the square is kept at a temperature of $100^{\circ} \mathrm{C}$ and the remaining three sides are kept at a temperature of $0{ }^{\circ} \mathrm{C}$. Using the principle of superposition, the value of $T_{0}$ is _____________ (rounded off to two decimal places).