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Finding the Fourth Proportional to 69.97, 104.89 and 27.25

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Solution

The fourth proportional to 69.97, 104.89 and 27.25 is: 40.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    69.97 : 104.89 = 27.25 : x
  2. Step 2: Convert to fraction form
    69.97/104.89 = 27.25/x
  3. Step 3: Cross multiply
    69.97x = 104.89 × 27.25
  4. Step 4: Simplify right side
    69.97x = 2,858.25
  5. Step 5: Solve for x
    x = 2,858.25/69.97
  6. Step 6: Final answer
    x = 40.85

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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.