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Finding the Fourth Proportional to 140.36, 193.68 and 82.13

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Solution

The fourth proportional to 140.36, 193.68 and 82.13 is: 113.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    140.36 : 193.68 = 82.13 : x
  2. Step 2: Convert to fraction form
    140.36/193.68 = 82.13/x
  3. Step 3: Cross multiply
    140.36x = 193.68 × 82.13
  4. Step 4: Simplify right side
    140.36x = 15,905.97
  5. Step 5: Solve for x
    x = 15,905.97/140.36
  6. Step 6: Final answer
    x = 113.33

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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.