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Finding the Fourth Proportional to 129.29, 178.42 and 71.08

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Solution

The fourth proportional to 129.29, 178.42 and 71.08 is: 98.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    129.29 : 178.42 = 71.08 : x
  2. Step 2: Convert to fraction form
    129.29/178.42 = 71.08/x
  3. Step 3: Cross multiply
    129.29x = 178.42 × 71.08
  4. Step 4: Simplify right side
    129.29x = 12,681.02
  5. Step 5: Solve for x
    x = 12,681.02/129.29
  6. Step 6: Final answer
    x = 98.08

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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.