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Finding the Fourth Proportional to 140.82, 211.23 and 38.12

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Solution

The fourth proportional to 140.82, 211.23 and 38.12 is: 57.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    140.82 : 211.23 = 38.12 : x
  2. Step 2: Convert to fraction form
    140.82/211.23 = 38.12/x
  3. Step 3: Cross multiply
    140.82x = 211.23 × 38.12
  4. Step 4: Simplify right side
    140.82x = 8,052.09
  5. Step 5: Solve for x
    x = 8,052.09/140.82
  6. Step 6: Final answer
    x = 57.18

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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.