Consider a string which is suspended from the ceiling. The length of the string is $98 \mathrm{mm}$ when a load of $60 \mathrm{N}$ is suspended from a string and the length of the string is $102 \mathrm{mm}$ when a load of $100 \mathrm{N}$ is suspended from a string. If the area of cross-section is unchanged in the entire process, the length (in $\mathrm{cm}$) of the string when a load of $150 \mathrm{N}$ is suspended is $\alpha$. Write the value of $10\alpha$.