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Finding the Fourth Proportional to 144.25, 199.05 and 82.06

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Solution

The fourth proportional to 144.25, 199.05 and 82.06 is: 113.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    144.25 : 199.05 = 82.06 : x
  2. Step 2: Convert to fraction form
    144.25/199.05 = 82.06/x
  3. Step 3: Cross multiply
    144.25x = 199.05 × 82.06
  4. Step 4: Simplify right side
    144.25x = 16,334.04
  5. Step 5: Solve for x
    x = 16,334.04/144.25
  6. Step 6: Final answer
    x = 113.23

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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.