Finding the Fourth Proportional to 96.82, 145.01 and 71.18

Step by Step Solution

1. Step 1: Write the proportion equation
   96.82 : 145.01 = 71.18 : x
2. Step 2: Convert to fraction form
   96.82/145.01 = 71.18/x
3. Step 3: Cross multiply
   96.82x = 145.01 × 71.18
4. Step 4: Simplify right side
   96.82x = 10,321.81
5. Step 5: Solve for x
   x = 10,321.81/96.82
6. Step 6: Final answer
   x = 106.61