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Finding the Fourth Proportional to 126.97, 175.22 and 71.71

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Solution

The fourth proportional to 126.97, 175.22 and 71.71 is: 98.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    126.97 : 175.22 = 71.71 : x
  2. Step 2: Convert to fraction form
    126.97/175.22 = 71.71/x
  3. Step 3: Cross multiply
    126.97x = 175.22 × 71.71
  4. Step 4: Simplify right side
    126.97x = 12,563.98
  5. Step 5: Solve for x
    x = 12,563.98/126.97
  6. Step 6: Final answer
    x = 98.95

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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.