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Finding the Fourth Proportional to 144.30, 198.72 and 100.56

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Solution

The fourth proportional to 144.30, 198.72 and 100.56 is: 138.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    144.30 : 198.72 = 100.56 : x
  2. Step 2: Convert to fraction form
    144.30/198.72 = 100.56/x
  3. Step 3: Cross multiply
    144.30x = 198.72 × 100.56
  4. Step 4: Simplify right side
    144.30x = 19,983.28
  5. Step 5: Solve for x
    x = 19,983.28/144.30
  6. Step 6: Final answer
    x = 138.48

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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.