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Finding the Fourth Proportional to 140.98, 194.56 and 97.34

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Solution

The fourth proportional to 140.98, 194.56 and 97.34 is: 134.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    140.98 : 194.56 = 97.34 : x
  2. Step 2: Convert to fraction form
    140.98/194.56 = 97.34/x
  3. Step 3: Cross multiply
    140.98x = 194.56 × 97.34
  4. Step 4: Simplify right side
    140.98x = 18,938.47
  5. Step 5: Solve for x
    x = 18,938.47/140.98
  6. Step 6: Final answer
    x = 134.33

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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.