Given the information below for Seger Corporation, compute the expected share price at the end of $2022$ using price ratio analysis. Assume that the historical $($arithmetic$)$ average growth rates will remain the same for $2022.$

Note: Do not round intermediate calculations. Round your answers to $2$ decimal places.

$\backslash$table$[[$Year$,2016,2017,2018,2019,2020,2021],[$Price$,$$$81\mathrm{.}90,$$$87\mathrm{.}80,$$$86\mathrm{.}50,$$$84\mathrm{.}00,$$$105\mathrm{.}50,$$$120\mathrm{.}90$