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Finding the Fourth Proportional to 86.05, 119.29 and 84.37

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Solution

The fourth proportional to 86.05, 119.29 and 84.37 is: 116.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    86.05 : 119.29 = 84.37 : x
  2. Step 2: Convert to fraction form
    86.05/119.29 = 84.37/x
  3. Step 3: Cross multiply
    86.05x = 119.29 × 84.37
  4. Step 4: Simplify right side
    86.05x = 10,064.50
  5. Step 5: Solve for x
    x = 10,064.50/86.05
  6. Step 6: Final answer
    x = 116.96

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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.