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Finding the Fourth Proportional to 77.84, 107.24 and 54.49

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Solution

The fourth proportional to 77.84, 107.24 and 54.49 is: 75.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    77.84 : 107.24 = 54.49 : x
  2. Step 2: Convert to fraction form
    77.84/107.24 = 54.49/x
  3. Step 3: Cross multiply
    77.84x = 107.24 × 54.49
  4. Step 4: Simplify right side
    77.84x = 5,843.24
  5. Step 5: Solve for x
    x = 5,843.24/77.84
  6. Step 6: Final answer
    x = 75.06

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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.