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Finding the Fourth Proportional to 67.84, 101.46 and 43.41

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Solution

The fourth proportional to 67.84, 101.46 and 43.41 is: 64.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    67.84 : 101.46 = 43.41 : x
  2. Step 2: Convert to fraction form
    67.84/101.46 = 43.41/x
  3. Step 3: Cross multiply
    67.84x = 101.46 × 43.41
  4. Step 4: Simplify right side
    67.84x = 4,404.38
  5. Step 5: Solve for x
    x = 4,404.38/67.84
  6. Step 6: Final answer
    x = 64.92

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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.