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Finding the Fourth Proportional to 140.84, 194.30 and 81.81

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Solution

The fourth proportional to 140.84, 194.30 and 81.81 is: 112.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    140.84 : 194.30 = 81.81 : x
  2. Step 2: Convert to fraction form
    140.84/194.30 = 81.81/x
  3. Step 3: Cross multiply
    140.84x = 194.30 × 81.81
  4. Step 4: Simplify right side
    140.84x = 15,895.27
  5. Step 5: Solve for x
    x = 15,895.27/140.84
  6. Step 6: Final answer
    x = 112.86

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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.