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Finding the Fourth Proportional to 77.24, 106.67 and 66.26

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Solution

The fourth proportional to 77.24, 106.67 and 66.26 is: 91.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    77.24 : 106.67 = 66.26 : x
  2. Step 2: Convert to fraction form
    77.24/106.67 = 66.26/x
  3. Step 3: Cross multiply
    77.24x = 106.67 × 66.26
  4. Step 4: Simplify right side
    77.24x = 7,067.95
  5. Step 5: Solve for x
    x = 7,067.95/77.24
  6. Step 6: Final answer
    x = 91.51

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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.