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Finding the Fourth Proportional to 73.28, 101.07 and 49.97

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Solution

The fourth proportional to 73.28, 101.07 and 49.97 is: 68.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    73.28 : 101.07 = 49.97 : x
  2. Step 2: Convert to fraction form
    73.28/101.07 = 49.97/x
  3. Step 3: Cross multiply
    73.28x = 101.07 × 49.97
  4. Step 4: Simplify right side
    73.28x = 5,049.96
  5. Step 5: Solve for x
    x = 5,049.96/73.28
  6. Step 6: Final answer
    x = 68.92

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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.