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Finding the Fourth Proportional to 166.79, 230.18 and 96.86

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Solution

The fourth proportional to 166.79, 230.18 and 96.86 is: 133.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    166.79 : 230.18 = 96.86 : x
  2. Step 2: Convert to fraction form
    166.79/230.18 = 96.86/x
  3. Step 3: Cross multiply
    166.79x = 230.18 × 96.86
  4. Step 4: Simplify right side
    166.79x = 22,295.33
  5. Step 5: Solve for x
    x = 22,295.33/166.79
  6. Step 6: Final answer
    x = 133.68

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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.