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Finding the Fourth Proportional to 120.39, 166.14 and 65.13

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Solution

The fourth proportional to 120.39, 166.14 and 65.13 is: 89.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    120.39 : 166.14 = 65.13 : x
  2. Step 2: Convert to fraction form
    120.39/166.14 = 65.13/x
  3. Step 3: Cross multiply
    120.39x = 166.14 × 65.13
  4. Step 4: Simplify right side
    120.39x = 10,821.11
  5. Step 5: Solve for x
    x = 10,821.11/120.39
  6. Step 6: Final answer
    x = 89.88

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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.