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Finding the Fourth Proportional to 49.11, 67.57 and 47.96

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Solution

The fourth proportional to 49.11, 67.57 and 47.96 is: 65.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    49.11 : 67.57 = 47.96 : x
  2. Step 2: Convert to fraction form
    49.11/67.57 = 47.96/x
  3. Step 3: Cross multiply
    49.11x = 67.57 × 47.96
  4. Step 4: Simplify right side
    49.11x = 3,240.80
  5. Step 5: Solve for x
    x = 3,240.80/49.11
  6. Step 6: Final answer
    x = 65.99

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.