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Finding the Fourth Proportional to 86.57, 119.48 and 83.73

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Solution

The fourth proportional to 86.57, 119.48 and 83.73 is: 115.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    86.57 : 119.48 = 83.73 : x
  2. Step 2: Convert to fraction form
    86.57/119.48 = 83.73/x
  3. Step 3: Cross multiply
    86.57x = 119.48 × 83.73
  4. Step 4: Simplify right side
    86.57x = 10,004.09
  5. Step 5: Solve for x
    x = 10,004.09/86.57
  6. Step 6: Final answer
    x = 115.56

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