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Finding the Fourth Proportional to 42.04, 63.06 and 24.92

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Solution

The fourth proportional to 42.04, 63.06 and 24.92 is: 37.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    42.04 : 63.06 = 24.92 : x
  2. Step 2: Convert to fraction form
    42.04/63.06 = 24.92/x
  3. Step 3: Cross multiply
    42.04x = 63.06 × 24.92
  4. Step 4: Simplify right side
    42.04x = 1,571.46
  5. Step 5: Solve for x
    x = 1,571.46/42.04
  6. Step 6: Final answer
    x = 37.38

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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.