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Finding the Fourth Proportional to 42.23, 63.27 and 27.78

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Solution

The fourth proportional to 42.23, 63.27 and 27.78 is: 41.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    42.23 : 63.27 = 27.78 : x
  2. Step 2: Convert to fraction form
    42.23/63.27 = 27.78/x
  3. Step 3: Cross multiply
    42.23x = 63.27 × 27.78
  4. Step 4: Simplify right side
    42.23x = 1,757.64
  5. Step 5: Solve for x
    x = 1,757.64/42.23
  6. Step 6: Final answer
    x = 41.62

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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.