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Finding the Fourth Proportional to 143.54, 197.64 and 112.42

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Solution

The fourth proportional to 143.54, 197.64 and 112.42 is: 154.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    143.54 : 197.64 = 112.42 : x
  2. Step 2: Convert to fraction form
    143.54/197.64 = 112.42/x
  3. Step 3: Cross multiply
    143.54x = 197.64 × 112.42
  4. Step 4: Simplify right side
    143.54x = 22,218.69
  5. Step 5: Solve for x
    x = 22,218.69/143.54
  6. Step 6: Final answer
    x = 154.79

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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.