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Finding the Fourth Proportional to 140.91, 194.43 and 82.68

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Solution

The fourth proportional to 140.91, 194.43 and 82.68 is: 114.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    140.91 : 194.43 = 82.68 : x
  2. Step 2: Convert to fraction form
    140.91/194.43 = 82.68/x
  3. Step 3: Cross multiply
    140.91x = 194.43 × 82.68
  4. Step 4: Simplify right side
    140.91x = 16,075.47
  5. Step 5: Solve for x
    x = 16,075.47/140.91
  6. Step 6: Final answer
    x = 114.08

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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.