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Finding the Fourth Proportional to 111.62, 167.42 and 30.47

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Solution

The fourth proportional to 111.62, 167.42 and 30.47 is: 45.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    111.62 : 167.42 = 30.47 : x
  2. Step 2: Convert to fraction form
    111.62/167.42 = 30.47/x
  3. Step 3: Cross multiply
    111.62x = 167.42 × 30.47
  4. Step 4: Simplify right side
    111.62x = 5,101.78
  5. Step 5: Solve for x
    x = 5,101.78/111.62
  6. Step 6: Final answer
    x = 45.71

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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.