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Finding the Fourth Proportional to 129.20, 178.32 and 96.55

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Solution

The fourth proportional to 129.20, 178.32 and 96.55 is: 133.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    129.20 : 178.32 = 96.55 : x
  2. Step 2: Convert to fraction form
    129.20/178.32 = 96.55/x
  3. Step 3: Cross multiply
    129.20x = 178.32 × 96.55
  4. Step 4: Simplify right side
    129.20x = 17,216.35
  5. Step 5: Solve for x
    x = 17,216.35/129.20
  6. Step 6: Final answer
    x = 133.25

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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.