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Finding the Fourth Proportional to 69.62, 104.37 and 31.13

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Solution

The fourth proportional to 69.62, 104.37 and 31.13 is: 46.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    69.62 : 104.37 = 31.13 : x
  2. Step 2: Convert to fraction form
    69.62/104.37 = 31.13/x
  3. Step 3: Cross multiply
    69.62x = 104.37 × 31.13
  4. Step 4: Simplify right side
    69.62x = 3,249.04
  5. Step 5: Solve for x
    x = 3,249.04/69.62
  6. Step 6: Final answer
    x = 46.67

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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.