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Finding the Fourth Proportional to 84.22, 125.69 and 82.06

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Solution

The fourth proportional to 84.22, 125.69 and 82.06 is: 122.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    84.22 : 125.69 = 82.06 : x
  2. Step 2: Convert to fraction form
    84.22/125.69 = 82.06/x
  3. Step 3: Cross multiply
    84.22x = 125.69 × 82.06
  4. Step 4: Simplify right side
    84.22x = 10,314.12
  5. Step 5: Solve for x
    x = 10,314.12/84.22
  6. Step 6: Final answer
    x = 122.47

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.