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Finding the Fourth Proportional to 166.31, 229.55 and 96.41

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Solution

The fourth proportional to 166.31, 229.55 and 96.41 is: 133.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    166.31 : 229.55 = 96.41 : x
  2. Step 2: Convert to fraction form
    166.31/229.55 = 96.41/x
  3. Step 3: Cross multiply
    166.31x = 229.55 × 96.41
  4. Step 4: Simplify right side
    166.31x = 22,129.29
  5. Step 5: Solve for x
    x = 22,129.29/166.31
  6. Step 6: Final answer
    x = 133.06

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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.