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Finding the Fourth Proportional to 84.73, 116.92 and 47.88

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Solution

The fourth proportional to 84.73, 116.92 and 47.88 is: 66.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    84.73 : 116.92 = 47.88 : x
  2. Step 2: Convert to fraction form
    84.73/116.92 = 47.88/x
  3. Step 3: Cross multiply
    84.73x = 116.92 × 47.88
  4. Step 4: Simplify right side
    84.73x = 5,597.31
  5. Step 5: Solve for x
    x = 5,597.31/84.73
  6. Step 6: Final answer
    x = 66.06

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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.