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Finding the Fourth Proportional to 127.92, 176.22 and 102

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Solution

The fourth proportional to 127.92, 176.22 and 102 is: 140.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    127.92 : 176.22 = 102 : x
  2. Step 2: Convert to fraction form
    127.92/176.22 = 102/x
  3. Step 3: Cross multiply
    127.92x = 176.22 × 102
  4. Step 4: Simplify right side
    127.92x = 17,974.44
  5. Step 5: Solve for x
    x = 17,974.44/127.92
  6. Step 6: Final answer
    x = 140.51

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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.