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Finding the Fourth Proportional to 77.85, 108.07 and 76.77

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Solution

The fourth proportional to 77.85, 108.07 and 76.77 is: 106.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    77.85 : 108.07 = 76.77 : x
  2. Step 2: Convert to fraction form
    77.85/108.07 = 76.77/x
  3. Step 3: Cross multiply
    77.85x = 108.07 × 76.77
  4. Step 4: Simplify right side
    77.85x = 8,296.34
  5. Step 5: Solve for x
    x = 8,296.34/77.85
  6. Step 6: Final answer
    x = 106.57

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.