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Finding the Fourth Proportional to 42.18, 63.06 and 31.88

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Solution

The fourth proportional to 42.18, 63.06 and 31.88 is: 47.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    42.18 : 63.06 = 31.88 : x
  2. Step 2: Convert to fraction form
    42.18/63.06 = 31.88/x
  3. Step 3: Cross multiply
    42.18x = 63.06 × 31.88
  4. Step 4: Simplify right side
    42.18x = 2,010.35
  5. Step 5: Solve for x
    x = 2,010.35/42.18
  6. Step 6: Final answer
    x = 47.66

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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.