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Finding the Fourth Proportional to 49.13, 73.68 and 24.74

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Solution

The fourth proportional to 49.13, 73.68 and 24.74 is: 37.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    49.13 : 73.68 = 24.74 : x
  2. Step 2: Convert to fraction form
    49.13/73.68 = 24.74/x
  3. Step 3: Cross multiply
    49.13x = 73.68 × 24.74
  4. Step 4: Simplify right side
    49.13x = 1,822.97
  5. Step 5: Solve for x
    x = 1,822.97/49.13
  6. Step 6: Final answer
    x = 37.10

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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.