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Finding the Fourth Proportional to 103.87, 144.11 and 98.86

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Solution

The fourth proportional to 103.87, 144.11 and 98.86 is: 137.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    103.87 : 144.11 = 98.86 : x
  2. Step 2: Convert to fraction form
    103.87/144.11 = 98.86/x
  3. Step 3: Cross multiply
    103.87x = 144.11 × 98.86
  4. Step 4: Simplify right side
    103.87x = 14,246.71
  5. Step 5: Solve for x
    x = 14,246.71/103.87
  6. Step 6: Final answer
    x = 137.16

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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.