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Finding the Fourth Proportional to 126.80, 174.92 and 107.60

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Solution

The fourth proportional to 126.80, 174.92 and 107.60 is: 148.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    126.80 : 174.92 = 107.60 : x
  2. Step 2: Convert to fraction form
    126.80/174.92 = 107.60/x
  3. Step 3: Cross multiply
    126.80x = 174.92 × 107.60
  4. Step 4: Simplify right side
    126.80x = 18,821.39
  5. Step 5: Solve for x
    x = 18,821.39/126.80
  6. Step 6: Final answer
    x = 148.43

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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.