Finding the Fourth Proportional to 108.16, 162.24 and 82.42

Step by Step Solution

1. Step 1: Write the proportion equation
   108.16 : 162.24 = 82.42 : x
2. Step 2: Convert to fraction form
   108.16/162.24 = 82.42/x
3. Step 3: Cross multiply
   108.16x = 162.24 × 82.42
4. Step 4: Simplify right side
   108.16x = 13,371.82
5. Step 5: Solve for x
   x = 13,371.82/108.16
6. Step 6: Final answer
   x = 123.63