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Finding the Fourth Proportional to 49.72, 68.60 and 27.88

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Solution

The fourth proportional to 49.72, 68.60 and 27.88 is: 38.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    49.72 : 68.60 = 27.88 : x
  2. Step 2: Convert to fraction form
    49.72/68.60 = 27.88/x
  3. Step 3: Cross multiply
    49.72x = 68.60 × 27.88
  4. Step 4: Simplify right side
    49.72x = 1,912.47
  5. Step 5: Solve for x
    x = 1,912.47/49.72
  6. Step 6: Final answer
    x = 38.47

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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.