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Finding the Fourth Proportional to 73.97, 102.03 and 47.73

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Solution

The fourth proportional to 73.97, 102.03 and 47.73 is: 65.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    73.97 : 102.03 = 47.73 : x
  2. Step 2: Convert to fraction form
    73.97/102.03 = 47.73/x
  3. Step 3: Cross multiply
    73.97x = 102.03 × 47.73
  4. Step 4: Simplify right side
    73.97x = 4,869.89
  5. Step 5: Solve for x
    x = 4,869.89/73.97
  6. Step 6: Final answer
    x = 65.84

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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.