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Finding the Fourth Proportional to 103.82, 144.01 and 98.35

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Solution

The fourth proportional to 103.82, 144.01 and 98.35 is: 136.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    103.82 : 144.01 = 98.35 : x
  2. Step 2: Convert to fraction form
    103.82/144.01 = 98.35/x
  3. Step 3: Cross multiply
    103.82x = 144.01 × 98.35
  4. Step 4: Simplify right side
    103.82x = 14,163.15
  5. Step 5: Solve for x
    x = 14,163.15/103.82
  6. Step 6: Final answer
    x = 136.43

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.