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Finding the Fourth Proportional to 85.44, 118.49 and 83.22

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Solution

The fourth proportional to 85.44, 118.49 and 83.22 is: 115.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    85.44 : 118.49 = 83.22 : x
  2. Step 2: Convert to fraction form
    85.44/118.49 = 83.22/x
  3. Step 3: Cross multiply
    85.44x = 118.49 × 83.22
  4. Step 4: Simplify right side
    85.44x = 9,860.32
  5. Step 5: Solve for x
    x = 9,860.32/85.44
  6. Step 6: Final answer
    x = 115.41

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.