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Finding the Fourth Proportional to 84.16, 116.22 and 83.44

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Solution

The fourth proportional to 84.16, 116.22 and 83.44 is: 115.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    84.16 : 116.22 = 83.44 : x
  2. Step 2: Convert to fraction form
    84.16/116.22 = 83.44/x
  3. Step 3: Cross multiply
    84.16x = 116.22 × 83.44
  4. Step 4: Simplify right side
    84.16x = 9,697.40
  5. Step 5: Solve for x
    x = 9,697.40/84.16
  6. Step 6: Final answer
    x = 115.23

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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.