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Finding the Fourth Proportional to 141.38, 212.56 and 111.31

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Solution

The fourth proportional to 141.38, 212.56 and 111.31 is: 167.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    141.38 : 212.56 = 111.31 : x
  2. Step 2: Convert to fraction form
    141.38/212.56 = 111.31/x
  3. Step 3: Cross multiply
    141.38x = 212.56 × 111.31
  4. Step 4: Simplify right side
    141.38x = 23,660.05
  5. Step 5: Solve for x
    x = 23,660.05/141.38
  6. Step 6: Final answer
    x = 167.35

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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.