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Finding the Fourth Proportional to 166.39, 229.64 and 96.42

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Solution

The fourth proportional to 166.39, 229.64 and 96.42 is: 133.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    166.39 : 229.64 = 96.42 : x
  2. Step 2: Convert to fraction form
    166.39/229.64 = 96.42/x
  3. Step 3: Cross multiply
    166.39x = 229.64 × 96.42
  4. Step 4: Simplify right side
    166.39x = 22,141.78
  5. Step 5: Solve for x
    x = 22,141.78/166.39
  6. Step 6: Final answer
    x = 133.07

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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.