Finding the Fourth Proportional to 109.56, 164.38 and 55.42

Step by Step Solution

1. Step 1: Write the proportion equation
   109.56 : 164.38 = 55.42 : x
2. Step 2: Convert to fraction form
   109.56/164.38 = 55.42/x
3. Step 3: Cross multiply
   109.56x = 164.38 × 55.42
4. Step 4: Simplify right side
   109.56x = 9,109.94
5. Step 5: Solve for x
   x = 9,109.94/109.56
6. Step 6: Final answer
   x = 83.15