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Finding the Fourth Proportional to 42.20, 63.03 and 36.52

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Solution

The fourth proportional to 42.20, 63.03 and 36.52 is: 54.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    42.20 : 63.03 = 36.52 : x
  2. Step 2: Convert to fraction form
    42.20/63.03 = 36.52/x
  3. Step 3: Cross multiply
    42.20x = 63.03 × 36.52
  4. Step 4: Simplify right side
    42.20x = 2,301.86
  5. Step 5: Solve for x
    x = 2,301.86/42.20
  6. Step 6: Final answer
    x = 54.55

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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.