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Finding the Fourth Proportional to 86.09, 119.41 and 83.02

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Solution

The fourth proportional to 86.09, 119.41 and 83.02 is: 115.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    86.09 : 119.41 = 83.02 : x
  2. Step 2: Convert to fraction form
    86.09/119.41 = 83.02/x
  3. Step 3: Cross multiply
    86.09x = 119.41 × 83.02
  4. Step 4: Simplify right side
    86.09x = 9,912.91
  5. Step 5: Solve for x
    x = 9,912.91/86.09
  6. Step 6: Final answer
    x = 115.15

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.