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Finding the Fourth Proportional to 166.28, 229.41 and 96.32

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Solution

The fourth proportional to 166.28, 229.41 and 96.32 is: 132.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    166.28 : 229.41 = 96.32 : x
  2. Step 2: Convert to fraction form
    166.28/229.41 = 96.32/x
  3. Step 3: Cross multiply
    166.28x = 229.41 × 96.32
  4. Step 4: Simplify right side
    166.28x = 22,096.77
  5. Step 5: Solve for x
    x = 22,096.77/166.28
  6. Step 6: Final answer
    x = 132.89

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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.