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Finding the Fourth Proportional to 166.39, 229.60 and 96.44

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Solution

The fourth proportional to 166.39, 229.60 and 96.44 is: 133.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    166.39 : 229.60 = 96.44 : x
  2. Step 2: Convert to fraction form
    166.39/229.60 = 96.44/x
  3. Step 3: Cross multiply
    166.39x = 229.60 × 96.44
  4. Step 4: Simplify right side
    166.39x = 22,142.62
  5. Step 5: Solve for x
    x = 22,142.62/166.39
  6. Step 6: Final answer
    x = 133.08

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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.