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Finding the Fourth Proportional to 49.08, 67.76 and 41.76

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Solution

The fourth proportional to 49.08, 67.76 and 41.76 is: 57.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    49.08 : 67.76 = 41.76 : x
  2. Step 2: Convert to fraction form
    49.08/67.76 = 41.76/x
  3. Step 3: Cross multiply
    49.08x = 67.76 × 41.76
  4. Step 4: Simplify right side
    49.08x = 2,829.66
  5. Step 5: Solve for x
    x = 2,829.66/49.08
  6. Step 6: Final answer
    x = 57.65

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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.