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Finding the Fourth Proportional to 73.97, 101.81 and 61.55

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Solution

The fourth proportional to 73.97, 101.81 and 61.55 is: 84.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    73.97 : 101.81 = 61.55 : x
  2. Step 2: Convert to fraction form
    73.97/101.81 = 61.55/x
  3. Step 3: Cross multiply
    73.97x = 101.81 × 61.55
  4. Step 4: Simplify right side
    73.97x = 6,266.41
  5. Step 5: Solve for x
    x = 6,266.41/73.97
  6. Step 6: Final answer
    x = 84.72

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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.