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Finding the Fourth Proportional to 86.30, 119.14 and 82.38

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Solution

The fourth proportional to 86.30, 119.14 and 82.38 is: 113.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    86.30 : 119.14 = 82.38 : x
  2. Step 2: Convert to fraction form
    86.30/119.14 = 82.38/x
  3. Step 3: Cross multiply
    86.30x = 119.14 × 82.38
  4. Step 4: Simplify right side
    86.30x = 9,814.99
  5. Step 5: Solve for x
    x = 9,814.99/86.30
  6. Step 6: Final answer
    x = 113.73

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.