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Finding the Fourth Proportional to 77.45, 115.85 and 68.78

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Solution

The fourth proportional to 77.45, 115.85 and 68.78 is: 102.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    77.45 : 115.85 = 68.78 : x
  2. Step 2: Convert to fraction form
    77.45/115.85 = 68.78/x
  3. Step 3: Cross multiply
    77.45x = 115.85 × 68.78
  4. Step 4: Simplify right side
    77.45x = 7,967.24
  5. Step 5: Solve for x
    x = 7,967.24/77.45
  6. Step 6: Final answer
    x = 102.88

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.