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Finding the Fourth Proportional to 129.66, 178.55 and 96.85

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Solution

The fourth proportional to 129.66, 178.55 and 96.85 is: 133.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    129.66 : 178.55 = 96.85 : x
  2. Step 2: Convert to fraction form
    129.66/178.55 = 96.85/x
  3. Step 3: Cross multiply
    129.66x = 178.55 × 96.85
  4. Step 4: Simplify right side
    129.66x = 17,292.08
  5. Step 5: Solve for x
    x = 17,292.08/129.66
  6. Step 6: Final answer
    x = 133.37

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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.