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Finding the Fourth Proportional to 86.52, 119.04 and 83.82

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Solution

The fourth proportional to 86.52, 119.04 and 83.82 is: 115.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    86.52 : 119.04 = 83.82 : x
  2. Step 2: Convert to fraction form
    86.52/119.04 = 83.82/x
  3. Step 3: Cross multiply
    86.52x = 119.04 × 83.82
  4. Step 4: Simplify right side
    86.52x = 9,977.93
  5. Step 5: Solve for x
    x = 9,977.93/86.52
  6. Step 6: Final answer
    x = 115.33

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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.