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Finding the Fourth Proportional to 85.94, 129.15 and 80.09

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Solution

The fourth proportional to 85.94, 129.15 and 80.09 is: 120.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    85.94 : 129.15 = 80.09 : x
  2. Step 2: Convert to fraction form
    85.94/129.15 = 80.09/x
  3. Step 3: Cross multiply
    85.94x = 129.15 × 80.09
  4. Step 4: Simplify right side
    85.94x = 10,344.05
  5. Step 5: Solve for x
    x = 10,344.05/85.94
  6. Step 6: Final answer
    x = 120.37

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.