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Finding the Fourth Proportional to 86.25, 118.96 and 83.42

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Solution

The fourth proportional to 86.25, 118.96 and 83.42 is: 115.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    86.25 : 118.96 = 83.42 : x
  2. Step 2: Convert to fraction form
    86.25/118.96 = 83.42/x
  3. Step 3: Cross multiply
    86.25x = 118.96 × 83.42
  4. Step 4: Simplify right side
    86.25x = 9,923.23
  5. Step 5: Solve for x
    x = 9,923.23/86.25
  6. Step 6: Final answer
    x = 115.06

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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.