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Finding the Fourth Proportional to 127.64, 176.13 and 72.38

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Solution

The fourth proportional to 127.64, 176.13 and 72.38 is: 99.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    127.64 : 176.13 = 72.38 : x
  2. Step 2: Convert to fraction form
    127.64/176.13 = 72.38/x
  3. Step 3: Cross multiply
    127.64x = 176.13 × 72.38
  4. Step 4: Simplify right side
    127.64x = 12,748.73
  5. Step 5: Solve for x
    x = 12,748.73/127.64
  6. Step 6: Final answer
    x = 99.88

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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.