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Finding the Fourth Proportional to 77.56, 107.16 and 67.84

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Solution

The fourth proportional to 77.56, 107.16 and 67.84 is: 93.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    77.56 : 107.16 = 67.84 : x
  2. Step 2: Convert to fraction form
    77.56/107.16 = 67.84/x
  3. Step 3: Cross multiply
    77.56x = 107.16 × 67.84
  4. Step 4: Simplify right side
    77.56x = 7,269.73
  5. Step 5: Solve for x
    x = 7,269.73/77.56
  6. Step 6: Final answer
    x = 93.73

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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.