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Finding the Fourth Proportional to 140.39, 193.77 and 82.18

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Solution

The fourth proportional to 140.39, 193.77 and 82.18 is: 113.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    140.39 : 193.77 = 82.18 : x
  2. Step 2: Convert to fraction form
    140.39/193.77 = 82.18/x
  3. Step 3: Cross multiply
    140.39x = 193.77 × 82.18
  4. Step 4: Simplify right side
    140.39x = 15,924.02
  5. Step 5: Solve for x
    x = 15,924.02/140.39
  6. Step 6: Final answer
    x = 113.43

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.