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Finding the Fourth Proportional to 42.14, 63.24 and 27.72

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Solution

The fourth proportional to 42.14, 63.24 and 27.72 is: 41.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    42.14 : 63.24 = 27.72 : x
  2. Step 2: Convert to fraction form
    42.14/63.24 = 27.72/x
  3. Step 3: Cross multiply
    42.14x = 63.24 × 27.72
  4. Step 4: Simplify right side
    42.14x = 1,752.91
  5. Step 5: Solve for x
    x = 1,752.91/42.14
  6. Step 6: Final answer
    x = 41.59

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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.