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Finding the Fourth Proportional to 141.85, 212.36 and 107.74

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Solution

The fourth proportional to 141.85, 212.36 and 107.74 is: 161.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    141.85 : 212.36 = 107.74 : x
  2. Step 2: Convert to fraction form
    141.85/212.36 = 107.74/x
  3. Step 3: Cross multiply
    141.85x = 212.36 × 107.74
  4. Step 4: Simplify right side
    141.85x = 22,879.39
  5. Step 5: Solve for x
    x = 22,879.39/141.85
  6. Step 6: Final answer
    x = 161.29

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.