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Finding the Fourth Proportional to 47.66, 71.42 and 21.96

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Solution

The fourth proportional to 47.66, 71.42 and 21.96 is: 32.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    47.66 : 71.42 = 21.96 : x
  2. Step 2: Convert to fraction form
    47.66/71.42 = 21.96/x
  3. Step 3: Cross multiply
    47.66x = 71.42 × 21.96
  4. Step 4: Simplify right side
    47.66x = 1,568.27
  5. Step 5: Solve for x
    x = 1,568.27/47.66
  6. Step 6: Final answer
    x = 32.91

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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.