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Finding the Fourth Proportional to 126.98, 175.14 and 77.77

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Solution

The fourth proportional to 126.98, 175.14 and 77.77 is: 107.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    126.98 : 175.14 = 77.77 : x
  2. Step 2: Convert to fraction form
    126.98/175.14 = 77.77/x
  3. Step 3: Cross multiply
    126.98x = 175.14 × 77.77
  4. Step 4: Simplify right side
    126.98x = 13,620.86
  5. Step 5: Solve for x
    x = 13,620.86/126.98
  6. Step 6: Final answer
    x = 107.27

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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.