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Finding the Fourth Proportional to 69.83, 104.67 and 37.29

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Solution

The fourth proportional to 69.83, 104.67 and 37.29 is: 55.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    69.83 : 104.67 = 37.29 : x
  2. Step 2: Convert to fraction form
    69.83/104.67 = 37.29/x
  3. Step 3: Cross multiply
    69.83x = 104.67 × 37.29
  4. Step 4: Simplify right side
    69.83x = 3,903.14
  5. Step 5: Solve for x
    x = 3,903.14/69.83
  6. Step 6: Final answer
    x = 55.90

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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.