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Finding the Fourth Proportional to 49.52, 74.13 and 34.97

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Solution

The fourth proportional to 49.52, 74.13 and 34.97 is: 52.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    49.52 : 74.13 = 34.97 : x
  2. Step 2: Convert to fraction form
    49.52/74.13 = 34.97/x
  3. Step 3: Cross multiply
    49.52x = 74.13 × 34.97
  4. Step 4: Simplify right side
    49.52x = 2,591.96
  5. Step 5: Solve for x
    x = 2,591.96/49.52
  6. Step 6: Final answer
    x = 52.35

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.