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Finding the Fourth Proportional to 140.78, 194.12 and 96.54

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Solution

The fourth proportional to 140.78, 194.12 and 96.54 is: 133.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    140.78 : 194.12 = 96.54 : x
  2. Step 2: Convert to fraction form
    140.78/194.12 = 96.54/x
  3. Step 3: Cross multiply
    140.78x = 194.12 × 96.54
  4. Step 4: Simplify right side
    140.78x = 18,740.34
  5. Step 5: Solve for x
    x = 18,740.34/140.78
  6. Step 6: Final answer
    x = 133.12

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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.