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Finding the Fourth Proportional to 42.13, 63.21 and 37.65

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Solution

The fourth proportional to 42.13, 63.21 and 37.65 is: 56.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    42.13 : 63.21 = 37.65 : x
  2. Step 2: Convert to fraction form
    42.13/63.21 = 37.65/x
  3. Step 3: Cross multiply
    42.13x = 63.21 × 37.65
  4. Step 4: Simplify right side
    42.13x = 2,379.86
  5. Step 5: Solve for x
    x = 2,379.86/42.13
  6. Step 6: Final answer
    x = 56.49

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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.