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Finding the Fourth Proportional to 47.97, 66.20 and 27.25

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Solution

The fourth proportional to 47.97, 66.20 and 27.25 is: 37.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    47.97 : 66.20 = 27.25 : x
  2. Step 2: Convert to fraction form
    47.97/66.20 = 27.25/x
  3. Step 3: Cross multiply
    47.97x = 66.20 × 27.25
  4. Step 4: Simplify right side
    47.97x = 1,803.95
  5. Step 5: Solve for x
    x = 1,803.95/47.97
  6. Step 6: Final answer
    x = 37.61

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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.