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Finding the Fourth Proportional to 67.38, 100.91 and 43.02

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Solution

The fourth proportional to 67.38, 100.91 and 43.02 is: 64.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    67.38 : 100.91 = 43.02 : x
  2. Step 2: Convert to fraction form
    67.38/100.91 = 43.02/x
  3. Step 3: Cross multiply
    67.38x = 100.91 × 43.02
  4. Step 4: Simplify right side
    67.38x = 4,340.93
  5. Step 5: Solve for x
    x = 4,340.93/67.38
  6. Step 6: Final answer
    x = 64.42

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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.