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Finding the Fourth Proportional to 69.29, 103.94 and 33.21

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Solution

The fourth proportional to 69.29, 103.94 and 33.21 is: 49.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    69.29 : 103.94 = 33.21 : x
  2. Step 2: Convert to fraction form
    69.29/103.94 = 33.21/x
  3. Step 3: Cross multiply
    69.29x = 103.94 × 33.21
  4. Step 4: Simplify right side
    69.29x = 3,451.68
  5. Step 5: Solve for x
    x = 3,451.68/69.29
  6. Step 6: Final answer
    x = 49.82

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.