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Finding the Fourth Proportional to 143.78, 198.38 and 100.14

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Solution

The fourth proportional to 143.78, 198.38 and 100.14 is: 138.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    143.78 : 198.38 = 100.14 : x
  2. Step 2: Convert to fraction form
    143.78/198.38 = 100.14/x
  3. Step 3: Cross multiply
    143.78x = 198.38 × 100.14
  4. Step 4: Simplify right side
    143.78x = 19,865.77
  5. Step 5: Solve for x
    x = 19,865.77/143.78
  6. Step 6: Final answer
    x = 138.17

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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.