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Finding the Fourth Proportional to 144.24, 199.02 and 82.05

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Solution

The fourth proportional to 144.24, 199.02 and 82.05 is: 113.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    144.24 : 199.02 = 82.05 : x
  2. Step 2: Convert to fraction form
    144.24/199.02 = 82.05/x
  3. Step 3: Cross multiply
    144.24x = 199.02 × 82.05
  4. Step 4: Simplify right side
    144.24x = 16,329.18
  5. Step 5: Solve for x
    x = 16,329.18/144.24
  6. Step 6: Final answer
    x = 113.21

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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.