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Finding the Fourth Proportional to 69.60, 104.39 and 31.08

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Solution

The fourth proportional to 69.60, 104.39 and 31.08 is: 46.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    69.60 : 104.39 = 31.08 : x
  2. Step 2: Convert to fraction form
    69.60/104.39 = 31.08/x
  3. Step 3: Cross multiply
    69.60x = 104.39 × 31.08
  4. Step 4: Simplify right side
    69.60x = 3,244.29
  5. Step 5: Solve for x
    x = 3,244.29/69.60
  6. Step 6: Final answer
    x = 46.61

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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.