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Finding the Fourth Proportional to 69.82, 104.72 and 31.30

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Solution

The fourth proportional to 69.82, 104.72 and 31.30 is: 46.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    69.82 : 104.72 = 31.30 : x
  2. Step 2: Convert to fraction form
    69.82/104.72 = 31.30/x
  3. Step 3: Cross multiply
    69.82x = 104.72 × 31.30
  4. Step 4: Simplify right side
    69.82x = 3,277.74
  5. Step 5: Solve for x
    x = 3,277.74/69.82
  6. Step 6: Final answer
    x = 46.95

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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.