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Finding the Fourth Proportional to 109.12, 149.96 and 105.28

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Solution

The fourth proportional to 109.12, 149.96 and 105.28 is: 144.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    109.12 : 149.96 = 105.28 : x
  2. Step 2: Convert to fraction form
    109.12/149.96 = 105.28/x
  3. Step 3: Cross multiply
    109.12x = 149.96 × 105.28
  4. Step 4: Simplify right side
    109.12x = 15,787.79
  5. Step 5: Solve for x
    x = 15,787.79/109.12
  6. Step 6: Final answer
    x = 144.68

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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.