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Finding the Fourth Proportional to 69.85, 104.83 and 54.73

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Solution

The fourth proportional to 69.85, 104.83 and 54.73 is: 82.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    69.85 : 104.83 = 54.73 : x
  2. Step 2: Convert to fraction form
    69.85/104.83 = 54.73/x
  3. Step 3: Cross multiply
    69.85x = 104.83 × 54.73
  4. Step 4: Simplify right side
    69.85x = 5,736.75
  5. Step 5: Solve for x
    x = 5,736.75/69.85
  6. Step 6: Final answer
    x = 82.13

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Why These Related Problems?

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