The Frenchman de Reaumur developed a different temperature scale (now obsolete). Like the Celsius scale, it used the freezing point of water for its zero-point, but assigned 80.0 to the boiling point. Convert $73.1^{\circ} \mathrm{C}$ to ${ }^{\circ} \mathrm{Re}:$ ${ }^{\circ} \mathrm{Re}$

Step 1 ：The problem is asking to convert a temperature from Celsius to Reaumur. The Reaumur scale is similar to the Celsius scale in that it uses the freezing point of water as its zero point, but it assigns 80 degrees to the boiling point of water, instead of 100 degrees as in the Celsius scale. Therefore, to convert from Celsius to Reaumur, we can use the formula: \( ^{\circ} \mathrm{Re} = \frac{80}{100} * ^{\circ} \mathrm{C} \)

Step 2 ：So, we need to multiply the given Celsius temperature by 80/100 to get the equivalent temperature in Reaumur.

Step 3 ：Given Celsius temperature is 73.1

Step 4 ：Applying the formula, \( ^{\circ} \mathrm{Re} = \frac{80}{100} * 73.1 \)

Step 5 ：The equivalent temperature in Reaumur is \(\boxed{58.48^{\circ} \mathrm{Re}}\)