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Finding the Fourth Proportional to 86.51, 119.16 and 82.19

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Solution

The fourth proportional to 86.51, 119.16 and 82.19 is: 113.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    86.51 : 119.16 = 82.19 : x
  2. Step 2: Convert to fraction form
    86.51/119.16 = 82.19/x
  3. Step 3: Cross multiply
    86.51x = 119.16 × 82.19
  4. Step 4: Simplify right side
    86.51x = 9,793.16
  5. Step 5: Solve for x
    x = 9,793.16/86.51
  6. Step 6: Final answer
    x = 113.21

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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.