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Finding the Fourth Proportional to 166.81, 230.13 and 96.86

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Solution

The fourth proportional to 166.81, 230.13 and 96.86 is: 133.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    166.81 : 230.13 = 96.86 : x
  2. Step 2: Convert to fraction form
    166.81/230.13 = 96.86/x
  3. Step 3: Cross multiply
    166.81x = 230.13 × 96.86
  4. Step 4: Simplify right side
    166.81x = 22,289.24
  5. Step 5: Solve for x
    x = 22,289.24/166.81
  6. Step 6: Final answer
    x = 133.62

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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.