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Finding the Fourth Proportional to 69.75, 104.49 and 31.14

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Solution

The fourth proportional to 69.75, 104.49 and 31.14 is: 46.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    69.75 : 104.49 = 31.14 : x
  2. Step 2: Convert to fraction form
    69.75/104.49 = 31.14/x
  3. Step 3: Cross multiply
    69.75x = 104.49 × 31.14
  4. Step 4: Simplify right side
    69.75x = 3,253.66
  5. Step 5: Solve for x
    x = 3,253.66/69.75
  6. Step 6: Final answer
    x = 46.65

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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.