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Finding the Fourth Proportional to 195.91, 270.42 and 126.07

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Solution

The fourth proportional to 195.91, 270.42 and 126.07 is: 174.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    195.91 : 270.42 = 126.07 : x
  2. Step 2: Convert to fraction form
    195.91/270.42 = 126.07/x
  3. Step 3: Cross multiply
    195.91x = 270.42 × 126.07
  4. Step 4: Simplify right side
    195.91x = 34,091.85
  5. Step 5: Solve for x
    x = 34,091.85/195.91
  6. Step 6: Final answer
    x = 174.02

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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.