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Finding the Fourth Proportional to 140.79, 194.21 and 97.05

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Solution

The fourth proportional to 140.79, 194.21 and 97.05 is: 133.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    140.79 : 194.21 = 97.05 : x
  2. Step 2: Convert to fraction form
    140.79/194.21 = 97.05/x
  3. Step 3: Cross multiply
    140.79x = 194.21 × 97.05
  4. Step 4: Simplify right side
    140.79x = 18,848.08
  5. Step 5: Solve for x
    x = 18,848.08/140.79
  6. Step 6: Final answer
    x = 133.87

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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.