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Finding the Fourth Proportional to 80.33, 110.91 and 77.95

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Solution

The fourth proportional to 80.33, 110.91 and 77.95 is: 107.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    80.33 : 110.91 = 77.95 : x
  2. Step 2: Convert to fraction form
    80.33/110.91 = 77.95/x
  3. Step 3: Cross multiply
    80.33x = 110.91 × 77.95
  4. Step 4: Simplify right side
    80.33x = 8,645.16
  5. Step 5: Solve for x
    x = 8,645.16/80.33
  6. Step 6: Final answer
    x = 107.62

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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.