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Finding the Fourth Proportional to 77.67, 106.92 and 66.69

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Solution

The fourth proportional to 77.67, 106.92 and 66.69 is: 91.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    77.67 : 106.92 = 66.69 : x
  2. Step 2: Convert to fraction form
    77.67/106.92 = 66.69/x
  3. Step 3: Cross multiply
    77.67x = 106.92 × 66.69
  4. Step 4: Simplify right side
    77.67x = 7,130.49
  5. Step 5: Solve for x
    x = 7,130.49/77.67
  6. Step 6: Final answer
    x = 91.81

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.