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Finding the Fourth Proportional to 69.97, 104.94 and 31.44

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Solution

The fourth proportional to 69.97, 104.94 and 31.44 is: 47.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    69.97 : 104.94 = 31.44 : x
  2. Step 2: Convert to fraction form
    69.97/104.94 = 31.44/x
  3. Step 3: Cross multiply
    69.97x = 104.94 × 31.44
  4. Step 4: Simplify right side
    69.97x = 3,299.31
  5. Step 5: Solve for x
    x = 3,299.31/69.97
  6. Step 6: Final answer
    x = 47.15

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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.