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Finding the Fourth Proportional to 126.91, 175.13 and 77.78

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Solution

The fourth proportional to 126.91, 175.13 and 77.78 is: 107.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    126.91 : 175.13 = 77.78 : x
  2. Step 2: Convert to fraction form
    126.91/175.13 = 77.78/x
  3. Step 3: Cross multiply
    126.91x = 175.13 × 77.78
  4. Step 4: Simplify right side
    126.91x = 13,621.37
  5. Step 5: Solve for x
    x = 13,621.37/126.91
  6. Step 6: Final answer
    x = 107.33

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.