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Finding the Fourth Proportional to 69.41, 103.91 and 54.14

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Solution

The fourth proportional to 69.41, 103.91 and 54.14 is: 81.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    69.41 : 103.91 = 54.14 : x
  2. Step 2: Convert to fraction form
    69.41/103.91 = 54.14/x
  3. Step 3: Cross multiply
    69.41x = 103.91 × 54.14
  4. Step 4: Simplify right side
    69.41x = 5,624.90
  5. Step 5: Solve for x
    x = 5,624.90/69.41
  6. Step 6: Final answer
    x = 81.04

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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.