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Finding the Fourth Proportional to 127.13, 175.60 and 102.66

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Solution

The fourth proportional to 127.13, 175.60 and 102.66 is: 141.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    127.13 : 175.60 = 102.66 : x
  2. Step 2: Convert to fraction form
    127.13/175.60 = 102.66/x
  3. Step 3: Cross multiply
    127.13x = 175.60 × 102.66
  4. Step 4: Simplify right side
    127.13x = 18,027.10
  5. Step 5: Solve for x
    x = 18,027.10/127.13
  6. Step 6: Final answer
    x = 141.80

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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.