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Finding the Fourth Proportional to 49.38, 73.82 and 42.24

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Solution

The fourth proportional to 49.38, 73.82 and 42.24 is: 63.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    49.38 : 73.82 = 42.24 : x
  2. Step 2: Convert to fraction form
    49.38/73.82 = 42.24/x
  3. Step 3: Cross multiply
    49.38x = 73.82 × 42.24
  4. Step 4: Simplify right side
    49.38x = 3,117.95
  5. Step 5: Solve for x
    x = 3,117.95/49.38
  6. Step 6: Final answer
    x = 63.14

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.