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Finding the Fourth Proportional to 73.87, 101.89 and 49.27

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Solution

The fourth proportional to 73.87, 101.89 and 49.27 is: 67.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    73.87 : 101.89 = 49.27 : x
  2. Step 2: Convert to fraction form
    73.87/101.89 = 49.27/x
  3. Step 3: Cross multiply
    73.87x = 101.89 × 49.27
  4. Step 4: Simplify right side
    73.87x = 5,020.12
  5. Step 5: Solve for x
    x = 5,020.12/73.87
  6. Step 6: Final answer
    x = 67.96

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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.