Step 1 :To round a decimal to the nearest tenth, we need to look at the digit in the hundredths place. If this digit is 5 or more, we round up. If it is less than 5, we round down. In this case, the digit in the hundredths place is 6, so we round up.
Step 2 :The decimal 45.96725 rounded to the nearest tenth is \(\boxed{46.0}\).