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Finding the Fourth Proportional to 100.03, 137.91 and 83.68

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Solution

The fourth proportional to 100.03, 137.91 and 83.68 is: 115.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    100.03 : 137.91 = 83.68 : x
  2. Step 2: Convert to fraction form
    100.03/137.91 = 83.68/x
  3. Step 3: Cross multiply
    100.03x = 137.91 × 83.68
  4. Step 4: Simplify right side
    100.03x = 11,540.31
  5. Step 5: Solve for x
    x = 11,540.31/100.03
  6. Step 6: Final answer
    x = 115.37

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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.