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Finding the Fourth Proportional to 49.08, 67.84 and 41.80

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Solution

The fourth proportional to 49.08, 67.84 and 41.80 is: 57.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    49.08 : 67.84 = 41.80 : x
  2. Step 2: Convert to fraction form
    49.08/67.84 = 41.80/x
  3. Step 3: Cross multiply
    49.08x = 67.84 × 41.80
  4. Step 4: Simplify right side
    49.08x = 2,835.71
  5. Step 5: Solve for x
    x = 2,835.71/49.08
  6. Step 6: Final answer
    x = 57.78

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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.