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Finding the Fourth Proportional to 166.21, 229.37 and 96.28

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Solution

The fourth proportional to 166.21, 229.37 and 96.28 is: 132.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    166.21 : 229.37 = 96.28 : x
  2. Step 2: Convert to fraction form
    166.21/229.37 = 96.28/x
  3. Step 3: Cross multiply
    166.21x = 229.37 × 96.28
  4. Step 4: Simplify right side
    166.21x = 22,082.69
  5. Step 5: Solve for x
    x = 22,082.69/166.21
  6. Step 6: Final answer
    x = 132.86

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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.