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Finding the Fourth Proportional to 96.85, 133.49 and 68.80

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Solution

The fourth proportional to 96.85, 133.49 and 68.80 is: 94.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    96.85 : 133.49 = 68.80 : x
  2. Step 2: Convert to fraction form
    96.85/133.49 = 68.80/x
  3. Step 3: Cross multiply
    96.85x = 133.49 × 68.80
  4. Step 4: Simplify right side
    96.85x = 9,183.77
  5. Step 5: Solve for x
    x = 9,183.77/96.85
  6. Step 6: Final answer
    x = 94.83

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.