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Finding the Fourth Proportional to 86.65, 118.65 and 83.21

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Solution

The fourth proportional to 86.65, 118.65 and 83.21 is: 113.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    86.65 : 118.65 = 83.21 : x
  2. Step 2: Convert to fraction form
    86.65/118.65 = 83.21/x
  3. Step 3: Cross multiply
    86.65x = 118.65 × 83.21
  4. Step 4: Simplify right side
    86.65x = 9,872.27
  5. Step 5: Solve for x
    x = 9,872.27/86.65
  6. Step 6: Final answer
    x = 113.94

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.