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Finding the Fourth Proportional to 140.74, 194.24 and 99.29

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Solution

The fourth proportional to 140.74, 194.24 and 99.29 is: 137.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    140.74 : 194.24 = 99.29 : x
  2. Step 2: Convert to fraction form
    140.74/194.24 = 99.29/x
  3. Step 3: Cross multiply
    140.74x = 194.24 × 99.29
  4. Step 4: Simplify right side
    140.74x = 19,286.09
  5. Step 5: Solve for x
    x = 19,286.09/140.74
  6. Step 6: Final answer
    x = 137.03

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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.