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Finding the Fourth Proportional to 141.24, 211.92 and 69.09

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Solution

The fourth proportional to 141.24, 211.92 and 69.09 is: 103.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    141.24 : 211.92 = 69.09 : x
  2. Step 2: Convert to fraction form
    141.24/211.92 = 69.09/x
  3. Step 3: Cross multiply
    141.24x = 211.92 × 69.09
  4. Step 4: Simplify right side
    141.24x = 14,641.55
  5. Step 5: Solve for x
    x = 14,641.55/141.24
  6. Step 6: Final answer
    x = 103.66

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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.