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Finding the Fourth Proportional to 140.98, 194.59 and 81.98

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Solution

The fourth proportional to 140.98, 194.59 and 81.98 is: 113.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    140.98 : 194.59 = 81.98 : x
  2. Step 2: Convert to fraction form
    140.98/194.59 = 81.98/x
  3. Step 3: Cross multiply
    140.98x = 194.59 × 81.98
  4. Step 4: Simplify right side
    140.98x = 15,952.89
  5. Step 5: Solve for x
    x = 15,952.89/140.98
  6. Step 6: Final answer
    x = 113.16

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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.