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Finding the Fourth Proportional to 60.24, 90.20 and 42.02

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Solution

The fourth proportional to 60.24, 90.20 and 42.02 is: 62.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    60.24 : 90.20 = 42.02 : x
  2. Step 2: Convert to fraction form
    60.24/90.20 = 42.02/x
  3. Step 3: Cross multiply
    60.24x = 90.20 × 42.02
  4. Step 4: Simplify right side
    60.24x = 3,789.86
  5. Step 5: Solve for x
    x = 3,789.86/60.24
  6. Step 6: Final answer
    x = 62.91

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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.