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Finding the Fourth Proportional to 77.98, 116.90 and 67.27

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Solution

The fourth proportional to 77.98, 116.90 and 67.27 is: 100.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    77.98 : 116.90 = 67.27 : x
  2. Step 2: Convert to fraction form
    77.98/116.90 = 67.27/x
  3. Step 3: Cross multiply
    77.98x = 116.90 × 67.27
  4. Step 4: Simplify right side
    77.98x = 7,863.74
  5. Step 5: Solve for x
    x = 7,863.74/77.98
  6. Step 6: Final answer
    x = 100.85

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