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Finding the Fourth Proportional to 77.71, 107.36 and 54.49

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Solution

The fourth proportional to 77.71, 107.36 and 54.49 is: 75.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    77.71 : 107.36 = 54.49 : x
  2. Step 2: Convert to fraction form
    77.71/107.36 = 54.49/x
  3. Step 3: Cross multiply
    77.71x = 107.36 × 54.49
  4. Step 4: Simplify right side
    77.71x = 5,850.05
  5. Step 5: Solve for x
    x = 5,850.05/77.71
  6. Step 6: Final answer
    x = 75.28

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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.