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Finding the Fourth Proportional to 69.67, 104.37 and 42.67

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Solution

The fourth proportional to 69.67, 104.37 and 42.67 is: 63.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    69.67 : 104.37 = 42.67 : x
  2. Step 2: Convert to fraction form
    69.67/104.37 = 42.67/x
  3. Step 3: Cross multiply
    69.67x = 104.37 × 42.67
  4. Step 4: Simplify right side
    69.67x = 4,453.47
  5. Step 5: Solve for x
    x = 4,453.47/69.67
  6. Step 6: Final answer
    x = 63.92

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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.