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Finding the Fourth Proportional to 141.31, 211.78 and 106.97

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Solution

The fourth proportional to 141.31, 211.78 and 106.97 is: 160.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    141.31 : 211.78 = 106.97 : x
  2. Step 2: Convert to fraction form
    141.31/211.78 = 106.97/x
  3. Step 3: Cross multiply
    141.31x = 211.78 × 106.97
  4. Step 4: Simplify right side
    141.31x = 22,652.78
  5. Step 5: Solve for x
    x = 22,652.78/141.31
  6. Step 6: Final answer
    x = 160.31

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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.