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Finding the Fourth Proportional to 166.57, 229.86 and 96.64

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Solution

The fourth proportional to 166.57, 229.86 and 96.64 is: 133.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    166.57 : 229.86 = 96.64 : x
  2. Step 2: Convert to fraction form
    166.57/229.86 = 96.64/x
  3. Step 3: Cross multiply
    166.57x = 229.86 × 96.64
  4. Step 4: Simplify right side
    166.57x = 22,213.34
  5. Step 5: Solve for x
    x = 22,213.34/166.57
  6. Step 6: Final answer
    x = 133.36

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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.