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Finding the Fourth Proportional to 77.28, 106.21 and 66.28

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Solution

The fourth proportional to 77.28, 106.21 and 66.28 is: 91.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    77.28 : 106.21 = 66.28 : x
  2. Step 2: Convert to fraction form
    77.28/106.21 = 66.28/x
  3. Step 3: Cross multiply
    77.28x = 106.21 × 66.28
  4. Step 4: Simplify right side
    77.28x = 7,039.60
  5. Step 5: Solve for x
    x = 7,039.60/77.28
  6. Step 6: Final answer
    x = 91.09

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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.