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Finding the Fourth Proportional to 140.31, 193.64 and 82.11

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Solution

The fourth proportional to 140.31, 193.64 and 82.11 is: 113.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    140.31 : 193.64 = 82.11 : x
  2. Step 2: Convert to fraction form
    140.31/193.64 = 82.11/x
  3. Step 3: Cross multiply
    140.31x = 193.64 × 82.11
  4. Step 4: Simplify right side
    140.31x = 15,899.78
  5. Step 5: Solve for x
    x = 15,899.78/140.31
  6. Step 6: Final answer
    x = 113.32

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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.