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Finding the Fourth Proportional to 49.12, 67.75 and 41.42

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Solution

The fourth proportional to 49.12, 67.75 and 41.42 is: 57.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    49.12 : 67.75 = 41.42 : x
  2. Step 2: Convert to fraction form
    49.12/67.75 = 41.42/x
  3. Step 3: Cross multiply
    49.12x = 67.75 × 41.42
  4. Step 4: Simplify right side
    49.12x = 2,806.21
  5. Step 5: Solve for x
    x = 2,806.21/49.12
  6. Step 6: Final answer
    x = 57.13

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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.