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Finding the Fourth Proportional to 47.92, 66.14 and 28.52

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Solution

The fourth proportional to 47.92, 66.14 and 28.52 is: 39.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    47.92 : 66.14 = 28.52 : x
  2. Step 2: Convert to fraction form
    47.92/66.14 = 28.52/x
  3. Step 3: Cross multiply
    47.92x = 66.14 × 28.52
  4. Step 4: Simplify right side
    47.92x = 1,885.98
  5. Step 5: Solve for x
    x = 1,885.98/47.92
  6. Step 6: Final answer
    x = 39.35

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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.