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Finding the Fourth Proportional to 81.74, 122.72 and 77.90

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Solution

The fourth proportional to 81.74, 122.72 and 77.90 is: 116.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    81.74 : 122.72 = 77.90 : x
  2. Step 2: Convert to fraction form
    81.74/122.72 = 77.90/x
  3. Step 3: Cross multiply
    81.74x = 122.72 × 77.90
  4. Step 4: Simplify right side
    81.74x = 9,559.89
  5. Step 5: Solve for x
    x = 9,559.89/81.74
  6. Step 6: Final answer
    x = 116.95

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.