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Finding the Fourth Proportional to 127.20, 175.36 and 97.71

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Solution

The fourth proportional to 127.20, 175.36 and 97.71 is: 134.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    127.20 : 175.36 = 97.71 : x
  2. Step 2: Convert to fraction form
    127.20/175.36 = 97.71/x
  3. Step 3: Cross multiply
    127.20x = 175.36 × 97.71
  4. Step 4: Simplify right side
    127.20x = 17,134.43
  5. Step 5: Solve for x
    x = 17,134.43/127.20
  6. Step 6: Final answer
    x = 134.70

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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.