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Finding the Fourth Proportional to 120.29, 165.85 and 95.65

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Solution

The fourth proportional to 120.29, 165.85 and 95.65 is: 131.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    120.29 : 165.85 = 95.65 : x
  2. Step 2: Convert to fraction form
    120.29/165.85 = 95.65/x
  3. Step 3: Cross multiply
    120.29x = 165.85 × 95.65
  4. Step 4: Simplify right side
    120.29x = 15,862.90
  5. Step 5: Solve for x
    x = 15,862.90/120.29
  6. Step 6: Final answer
    x = 131.88

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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.