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Finding the Fourth Proportional to 127.88, 176.43 and 102.97

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Solution

The fourth proportional to 127.88, 176.43 and 102.97 is: 142.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    127.88 : 176.43 = 102.97 : x
  2. Step 2: Convert to fraction form
    127.88/176.43 = 102.97/x
  3. Step 3: Cross multiply
    127.88x = 176.43 × 102.97
  4. Step 4: Simplify right side
    127.88x = 18,167.02
  5. Step 5: Solve for x
    x = 18,167.02/127.88
  6. Step 6: Final answer
    x = 142.06

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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.