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Finding the Fourth Proportional to 47.92, 66.12 and 31.56

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Solution

The fourth proportional to 47.92, 66.12 and 31.56 is: 43.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    47.92 : 66.12 = 31.56 : x
  2. Step 2: Convert to fraction form
    47.92/66.12 = 31.56/x
  3. Step 3: Cross multiply
    47.92x = 66.12 × 31.56
  4. Step 4: Simplify right side
    47.92x = 2,086.75
  5. Step 5: Solve for x
    x = 2,086.75/47.92
  6. Step 6: Final answer
    x = 43.55

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.