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Finding the Fourth Proportional to 49.78, 68.82 and 37.66

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Solution

The fourth proportional to 49.78, 68.82 and 37.66 is: 52.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    49.78 : 68.82 = 37.66 : x
  2. Step 2: Convert to fraction form
    49.78/68.82 = 37.66/x
  3. Step 3: Cross multiply
    49.78x = 68.82 × 37.66
  4. Step 4: Simplify right side
    49.78x = 2,591.76
  5. Step 5: Solve for x
    x = 2,591.76/49.78
  6. Step 6: Final answer
    x = 52.06

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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.