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Finding the Fourth Proportional to 110.96, 166.43 and 29.79

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Solution

The fourth proportional to 110.96, 166.43 and 29.79 is: 44.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    110.96 : 166.43 = 29.79 : x
  2. Step 2: Convert to fraction form
    110.96/166.43 = 29.79/x
  3. Step 3: Cross multiply
    110.96x = 166.43 × 29.79
  4. Step 4: Simplify right side
    110.96x = 4,957.80
  5. Step 5: Solve for x
    x = 4,957.80/110.96
  6. Step 6: Final answer
    x = 44.68

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.