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Finding the Fourth Proportional to 47.92, 66.14 and 45.47

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Solution

The fourth proportional to 47.92, 66.14 and 45.47 is: 62.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    47.92 : 66.14 = 45.47 : x
  2. Step 2: Convert to fraction form
    47.92/66.14 = 45.47/x
  3. Step 3: Cross multiply
    47.92x = 66.14 × 45.47
  4. Step 4: Simplify right side
    47.92x = 3,007.08
  5. Step 5: Solve for x
    x = 3,007.08/47.92
  6. Step 6: Final answer
    x = 62.76

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