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Finding the Fourth Proportional to 105.20, 144.36 and 95.92

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Solution

The fourth proportional to 105.20, 144.36 and 95.92 is: 131.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.20 : 144.36 = 95.92 : x
  2. Step 2: Convert to fraction form
    105.20/144.36 = 95.92/x
  3. Step 3: Cross multiply
    105.20x = 144.36 × 95.92
  4. Step 4: Simplify right side
    105.20x = 13,847.01
  5. Step 5: Solve for x
    x = 13,847.01/105.20
  6. Step 6: Final answer
    x = 131.63

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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.