Finding the Fourth Proportional to 97.50, 145.55 and 83.82

Step by Step Solution

1. Step 1: Write the proportion equation
   97.50 : 145.55 = 83.82 : x
2. Step 2: Convert to fraction form
   97.50/145.55 = 83.82/x
3. Step 3: Cross multiply
   97.50x = 145.55 × 83.82
4. Step 4: Simplify right side
   97.50x = 12,199.58
5. Step 5: Solve for x
   x = 12,199.58/97.50
6. Step 6: Final answer
   x = 125.12