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Finding the Fourth Proportional to 69.12, 103.70 and 33.04

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Solution

The fourth proportional to 69.12, 103.70 and 33.04 is: 49.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    69.12 : 103.70 = 33.04 : x
  2. Step 2: Convert to fraction form
    69.12/103.70 = 33.04/x
  3. Step 3: Cross multiply
    69.12x = 103.70 × 33.04
  4. Step 4: Simplify right side
    69.12x = 3,426.25
  5. Step 5: Solve for x
    x = 3,426.25/69.12
  6. Step 6: Final answer
    x = 49.57

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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.