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Finding the Fourth Proportional to 144.82, 199.56 and 112.06

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Solution

The fourth proportional to 144.82, 199.56 and 112.06 is: 154.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    144.82 : 199.56 = 112.06 : x
  2. Step 2: Convert to fraction form
    144.82/199.56 = 112.06/x
  3. Step 3: Cross multiply
    144.82x = 199.56 × 112.06
  4. Step 4: Simplify right side
    144.82x = 22,362.69
  5. Step 5: Solve for x
    x = 22,362.69/144.82
  6. Step 6: Final answer
    x = 154.42

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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.