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Finding the Fourth Proportional to 47.91, 66.45 and 45.57

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Solution

The fourth proportional to 47.91, 66.45 and 45.57 is: 63.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    47.91 : 66.45 = 45.57 : x
  2. Step 2: Convert to fraction form
    47.91/66.45 = 45.57/x
  3. Step 3: Cross multiply
    47.91x = 66.45 × 45.57
  4. Step 4: Simplify right side
    47.91x = 3,028.13
  5. Step 5: Solve for x
    x = 3,028.13/47.91
  6. Step 6: Final answer
    x = 63.20

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.