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Finding the Fourth Proportional to 129.72, 193.46 and 115.26

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Solution

The fourth proportional to 129.72, 193.46 and 115.26 is: 171.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    129.72 : 193.46 = 115.26 : x
  2. Step 2: Convert to fraction form
    129.72/193.46 = 115.26/x
  3. Step 3: Cross multiply
    129.72x = 193.46 × 115.26
  4. Step 4: Simplify right side
    129.72x = 22,298.20
  5. Step 5: Solve for x
    x = 22,298.20/129.72
  6. Step 6: Final answer
    x = 171.89

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.