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Finding the Fourth Proportional to 111.96, 167.91 and 30.80

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Solution

The fourth proportional to 111.96, 167.91 and 30.80 is: 46.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    111.96 : 167.91 = 30.80 : x
  2. Step 2: Convert to fraction form
    111.96/167.91 = 30.80/x
  3. Step 3: Cross multiply
    111.96x = 167.91 × 30.80
  4. Step 4: Simplify right side
    111.96x = 5,170.79
  5. Step 5: Solve for x
    x = 5,170.79/111.96
  6. Step 6: Final answer
    x = 46.18

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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.