Finding the Fourth Proportional to 109.62, 164.18 and 100.05

Step by Step Solution

1. Step 1: Write the proportion equation
   109.62 : 164.18 = 100.05 : x
2. Step 2: Convert to fraction form
   109.62/164.18 = 100.05/x
3. Step 3: Cross multiply
   109.62x = 164.18 × 100.05
4. Step 4: Simplify right side
   109.62x = 16,426.20
5. Step 5: Solve for x
   x = 16,426.20/109.62
6. Step 6: Final answer
   x = 149.85