Finding the Fourth Proportional to 105.50, 145.61 and 59.50

Step by Step Solution

1. Step 1: Write the proportion equation
   105.50 : 145.61 = 59.50 : x
2. Step 2: Convert to fraction form
   105.50/145.61 = 59.50/x
3. Step 3: Cross multiply
   105.50x = 145.61 × 59.50
4. Step 4: Simplify right side
   105.50x = 8,663.80
5. Step 5: Solve for x
   x = 8,663.80/105.50
6. Step 6: Final answer
   x = 82.12