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Finding the Fourth Proportional to 111.43, 167.14 and 30.28

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Solution

The fourth proportional to 111.43, 167.14 and 30.28 is: 45.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    111.43 : 167.14 = 30.28 : x
  2. Step 2: Convert to fraction form
    111.43/167.14 = 30.28/x
  3. Step 3: Cross multiply
    111.43x = 167.14 × 30.28
  4. Step 4: Simplify right side
    111.43x = 5,061.32
  5. Step 5: Solve for x
    x = 5,061.32/111.43
  6. Step 6: Final answer
    x = 45.42

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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.