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Finding the Fourth Proportional to 86.62, 119.46 and 83.11

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Solution

The fourth proportional to 86.62, 119.46 and 83.11 is: 114.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    86.62 : 119.46 = 83.11 : x
  2. Step 2: Convert to fraction form
    86.62/119.46 = 83.11/x
  3. Step 3: Cross multiply
    86.62x = 119.46 × 83.11
  4. Step 4: Simplify right side
    86.62x = 9,928.32
  5. Step 5: Solve for x
    x = 9,928.32/86.62
  6. Step 6: Final answer
    x = 114.62

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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.