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Finding the Fourth Proportional to 120.52, 166.17 and 81.64

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Solution

The fourth proportional to 120.52, 166.17 and 81.64 is: 112.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    120.52 : 166.17 = 81.64 : x
  2. Step 2: Convert to fraction form
    120.52/166.17 = 81.64/x
  3. Step 3: Cross multiply
    120.52x = 166.17 × 81.64
  4. Step 4: Simplify right side
    120.52x = 13,566.12
  5. Step 5: Solve for x
    x = 13,566.12/120.52
  6. Step 6: Final answer
    x = 112.56

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.