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Finding the Fourth Proportional to 166.32, 229.43 and 108

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Solution

The fourth proportional to 166.32, 229.43 and 108 is: 148.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    166.32 : 229.43 = 108 : x
  2. Step 2: Convert to fraction form
    166.32/229.43 = 108/x
  3. Step 3: Cross multiply
    166.32x = 229.43 × 108
  4. Step 4: Simplify right side
    166.32x = 24,778.71
  5. Step 5: Solve for x
    x = 24,778.71/166.32
  6. Step 6: Final answer
    x = 148.98

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.