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Finding the Fourth Proportional to 144.56, 199.46 and 82.36

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Solution

The fourth proportional to 144.56, 199.46 and 82.36 is: 113.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    144.56 : 199.46 = 82.36 : x
  2. Step 2: Convert to fraction form
    144.56/199.46 = 82.36/x
  3. Step 3: Cross multiply
    144.56x = 199.46 × 82.36
  4. Step 4: Simplify right side
    144.56x = 16,427.53
  5. Step 5: Solve for x
    x = 16,427.53/144.56
  6. Step 6: Final answer
    x = 113.64

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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.