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Finding the Fourth Proportional to 49.11, 67.63 and 48.96

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Solution

The fourth proportional to 49.11, 67.63 and 48.96 is: 67.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    49.11 : 67.63 = 48.96 : x
  2. Step 2: Convert to fraction form
    49.11/67.63 = 48.96/x
  3. Step 3: Cross multiply
    49.11x = 67.63 × 48.96
  4. Step 4: Simplify right side
    49.11x = 3,311.16
  5. Step 5: Solve for x
    x = 3,311.16/49.11
  6. Step 6: Final answer
    x = 67.42

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Why These Related Problems?

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