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Finding the Fourth Proportional to 69.82, 104.73 and 54.55

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Solution

The fourth proportional to 69.82, 104.73 and 54.55 is: 81.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    69.82 : 104.73 = 54.55 : x
  2. Step 2: Convert to fraction form
    69.82/104.73 = 54.55/x
  3. Step 3: Cross multiply
    69.82x = 104.73 × 54.55
  4. Step 4: Simplify right side
    69.82x = 5,713.02
  5. Step 5: Solve for x
    x = 5,713.02/69.82
  6. Step 6: Final answer
    x = 81.83

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.