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Finding the Fourth Proportional to 47.42, 71.11 and 16.56

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Solution

The fourth proportional to 47.42, 71.11 and 16.56 is: 24.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    47.42 : 71.11 = 16.56 : x
  2. Step 2: Convert to fraction form
    47.42/71.11 = 16.56/x
  3. Step 3: Cross multiply
    47.42x = 71.11 × 16.56
  4. Step 4: Simplify right side
    47.42x = 1,177.58
  5. Step 5: Solve for x
    x = 1,177.58/47.42
  6. Step 6: Final answer
    x = 24.83

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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.