Finding the Fourth Proportional to 109.89, 164.52 and 109.08

Step by Step Solution

1. Step 1: Write the proportion equation
   109.89 : 164.52 = 109.08 : x
2. Step 2: Convert to fraction form
   109.89/164.52 = 109.08/x
3. Step 3: Cross multiply
   109.89x = 164.52 × 109.08
4. Step 4: Simplify right side
   109.89x = 17,945.84
5. Step 5: Solve for x
   x = 17,945.84/109.89
6. Step 6: Final answer
   x = 163.31