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Finding the Fourth Proportional to 127.28, 175.74 and 102.71

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Solution

The fourth proportional to 127.28, 175.74 and 102.71 is: 141.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    127.28 : 175.74 = 102.71 : x
  2. Step 2: Convert to fraction form
    127.28/175.74 = 102.71/x
  3. Step 3: Cross multiply
    127.28x = 175.74 × 102.71
  4. Step 4: Simplify right side
    127.28x = 18,050.26
  5. Step 5: Solve for x
    x = 18,050.26/127.28
  6. Step 6: Final answer
    x = 141.82

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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.