Answer
$R' = 88.0~\Omega$
Work Step by Step
The ammeter reading is $~~i = 55.2~mA$
The voltmeter reading is $~~V' = 4.86~V$
We can find $R'$:
$R' = \frac{V'}{i} = \frac{4.86~V}{55.2~mA} = 88.0~\Omega$
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