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Consider the stable closed-loop system shown in the figure. The magnitude and phase values of the frequency response of $\text{G(s)}$ are given in the table. The value of the gain $K_{I}(>0)$ for a $50^{\circ}$ phase margin is __________ (rounded off to $2$ decimal places).
\begin{array}{|c|c|c|}
\hline \omega \text {in} \mathrm{rad} / \mathrm{sec} & \text{Magnitude in} \mathrm{dB} & \text{Phase in degrees} \\
\hline 0.5 & -7 & -40 \\
\hline 1.0 & -10 & -80 \\
\hline 2.0 & -18 & -130 \\
\hline 10.0 & -40 & -200 \\
\hline
\end{array}

 

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