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Finding the Fourth Proportional to 42.49, 63.64 and 24.41

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Solution

The fourth proportional to 42.49, 63.64 and 24.41 is: 36.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    42.49 : 63.64 = 24.41 : x
  2. Step 2: Convert to fraction form
    42.49/63.64 = 24.41/x
  3. Step 3: Cross multiply
    42.49x = 63.64 × 24.41
  4. Step 4: Simplify right side
    42.49x = 1,553.01
  5. Step 5: Solve for x
    x = 1,553.01/42.49
  6. Step 6: Final answer
    x = 36.55

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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.