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Finding the Fourth Proportional to 126.28, 174.24 and 71.02

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Solution

The fourth proportional to 126.28, 174.24 and 71.02 is: 97.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    126.28 : 174.24 = 71.02 : x
  2. Step 2: Convert to fraction form
    126.28/174.24 = 71.02/x
  3. Step 3: Cross multiply
    126.28x = 174.24 × 71.02
  4. Step 4: Simplify right side
    126.28x = 12,374.52
  5. Step 5: Solve for x
    x = 12,374.52/126.28
  6. Step 6: Final answer
    x = 97.99

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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.