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Finding the Fourth Proportional to 86.14, 118.81 and 82.26

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Solution

The fourth proportional to 86.14, 118.81 and 82.26 is: 113.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    86.14 : 118.81 = 82.26 : x
  2. Step 2: Convert to fraction form
    86.14/118.81 = 82.26/x
  3. Step 3: Cross multiply
    86.14x = 118.81 × 82.26
  4. Step 4: Simplify right side
    86.14x = 9,773.41
  5. Step 5: Solve for x
    x = 9,773.41/86.14
  6. Step 6: Final answer
    x = 113.46

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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.