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Finding the Fourth Proportional to 144.05, 198.72 and 100.31

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Solution

The fourth proportional to 144.05, 198.72 and 100.31 is: 138.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    144.05 : 198.72 = 100.31 : x
  2. Step 2: Convert to fraction form
    144.05/198.72 = 100.31/x
  3. Step 3: Cross multiply
    144.05x = 198.72 × 100.31
  4. Step 4: Simplify right side
    144.05x = 19,932.61
  5. Step 5: Solve for x
    x = 19,932.61/144.05
  6. Step 6: Final answer
    x = 138.38

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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.