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Finding the Fourth Proportional to 126.73, 174.92 and 77.65

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Solution

The fourth proportional to 126.73, 174.92 and 77.65 is: 107.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    126.73 : 174.92 = 77.65 : x
  2. Step 2: Convert to fraction form
    126.73/174.92 = 77.65/x
  3. Step 3: Cross multiply
    126.73x = 174.92 × 77.65
  4. Step 4: Simplify right side
    126.73x = 13,582.54
  5. Step 5: Solve for x
    x = 13,582.54/126.73
  6. Step 6: Final answer
    x = 107.18

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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.