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Finding the Fourth Proportional to 141.83, 212.61 and 111.29

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Solution

The fourth proportional to 141.83, 212.61 and 111.29 is: 166.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    141.83 : 212.61 = 111.29 : x
  2. Step 2: Convert to fraction form
    141.83/212.61 = 111.29/x
  3. Step 3: Cross multiply
    141.83x = 212.61 × 111.29
  4. Step 4: Simplify right side
    141.83x = 23,660.30
  5. Step 5: Solve for x
    x = 23,660.30/141.83
  6. Step 6: Final answer
    x = 166.83

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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.