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Finding the Fourth Proportional to 144.23, 199.06 and 82.06

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Solution

The fourth proportional to 144.23, 199.06 and 82.06 is: 113.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    144.23 : 199.06 = 82.06 : x
  2. Step 2: Convert to fraction form
    144.23/199.06 = 82.06/x
  3. Step 3: Cross multiply
    144.23x = 199.06 × 82.06
  4. Step 4: Simplify right side
    144.23x = 16,334.16
  5. Step 5: Solve for x
    x = 16,334.16/144.23
  6. Step 6: Final answer
    x = 113.25

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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.