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Finding the Fourth Proportional to 85.36, 118.37 and 84.28

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Solution

The fourth proportional to 85.36, 118.37 and 84.28 is: 116.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    85.36 : 118.37 = 84.28 : x
  2. Step 2: Convert to fraction form
    85.36/118.37 = 84.28/x
  3. Step 3: Cross multiply
    85.36x = 118.37 × 84.28
  4. Step 4: Simplify right side
    85.36x = 9,976.22
  5. Step 5: Solve for x
    x = 9,976.22/85.36
  6. Step 6: Final answer
    x = 116.87

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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.