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Finding the Fourth Proportional to 77.68, 106.57 and 75.66

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Solution

The fourth proportional to 77.68, 106.57 and 75.66 is: 103.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    77.68 : 106.57 = 75.66 : x
  2. Step 2: Convert to fraction form
    77.68/106.57 = 75.66/x
  3. Step 3: Cross multiply
    77.68x = 106.57 × 75.66
  4. Step 4: Simplify right side
    77.68x = 8,062.66
  5. Step 5: Solve for x
    x = 8,062.66/77.68
  6. Step 6: Final answer
    x = 103.79

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