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Finding the Fourth Proportional to 84.44, 117.10 and 82.22

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Solution

The fourth proportional to 84.44, 117.10 and 82.22 is: 114.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    84.44 : 117.10 = 82.22 : x
  2. Step 2: Convert to fraction form
    84.44/117.10 = 82.22/x
  3. Step 3: Cross multiply
    84.44x = 117.10 × 82.22
  4. Step 4: Simplify right side
    84.44x = 9,627.55
  5. Step 5: Solve for x
    x = 9,627.55/84.44
  6. Step 6: Final answer
    x = 114.02

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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.