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Finding the Fourth Proportional to 144.58, 199.47 and 82.37

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Solution

The fourth proportional to 144.58, 199.47 and 82.37 is: 113.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    144.58 : 199.47 = 82.37 : x
  2. Step 2: Convert to fraction form
    144.58/199.47 = 82.37/x
  3. Step 3: Cross multiply
    144.58x = 199.47 × 82.37
  4. Step 4: Simplify right side
    144.58x = 16,429.97
  5. Step 5: Solve for x
    x = 16,429.97/144.58
  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.