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Finding the Fourth Proportional to 84.50, 125.79 and 82.10

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Solution

The fourth proportional to 84.50, 125.79 and 82.10 is: 122.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    84.50 : 125.79 = 82.10 : x
  2. Step 2: Convert to fraction form
    84.50/125.79 = 82.10/x
  3. Step 3: Cross multiply
    84.50x = 125.79 × 82.10
  4. Step 4: Simplify right side
    84.50x = 10,326.95
  5. Step 5: Solve for x
    x = 10,326.95/84.50
  6. Step 6: Final answer
    x = 122.21

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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.