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Finding the Fourth Proportional to 80.88, 111.36 and 77.64

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Solution

The fourth proportional to 80.88, 111.36 and 77.64 is: 106.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    80.88 : 111.36 = 77.64 : x
  2. Step 2: Convert to fraction form
    80.88/111.36 = 77.64/x
  3. Step 3: Cross multiply
    80.88x = 111.36 × 77.64
  4. Step 4: Simplify right side
    80.88x = 8,645.99
  5. Step 5: Solve for x
    x = 8,645.99/80.88
  6. Step 6: Final answer
    x = 106.90

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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.