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Finding the Fourth Proportional to 154.97, 232.24 and 129.16

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Solution

The fourth proportional to 154.97, 232.24 and 129.16 is: 193.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    154.97 : 232.24 = 129.16 : x
  2. Step 2: Convert to fraction form
    154.97/232.24 = 129.16/x
  3. Step 3: Cross multiply
    154.97x = 232.24 × 129.16
  4. Step 4: Simplify right side
    154.97x = 29,996.12
  5. Step 5: Solve for x
    x = 29,996.12/154.97
  6. Step 6: Final answer
    x = 193.56

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.