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Finding the Fourth Proportional to 77.85, 106.83 and 76.37

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Solution

The fourth proportional to 77.85, 106.83 and 76.37 is: 104.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    77.85 : 106.83 = 76.37 : x
  2. Step 2: Convert to fraction form
    77.85/106.83 = 76.37/x
  3. Step 3: Cross multiply
    77.85x = 106.83 × 76.37
  4. Step 4: Simplify right side
    77.85x = 8,158.07
  5. Step 5: Solve for x
    x = 8,158.07/77.85
  6. Step 6: Final answer
    x = 104.79

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.