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Finding the Fourth Proportional to 105.09, 144.08 and 103.49

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Solution

The fourth proportional to 105.09, 144.08 and 103.49 is: 141.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.09 : 144.08 = 103.49 : x
  2. Step 2: Convert to fraction form
    105.09/144.08 = 103.49/x
  3. Step 3: Cross multiply
    105.09x = 144.08 × 103.49
  4. Step 4: Simplify right side
    105.09x = 14,910.68
  5. Step 5: Solve for x
    x = 14,910.68/105.09
  6. Step 6: Final answer
    x = 141.88

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.