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Finding the Fourth Proportional to 105.92, 159.81 and 105.11

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Solution

The fourth proportional to 105.92, 159.81 and 105.11 is: 158.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.92 : 159.81 = 105.11 : x
  2. Step 2: Convert to fraction form
    105.92/159.81 = 105.11/x
  3. Step 3: Cross multiply
    105.92x = 159.81 × 105.11
  4. Step 4: Simplify right side
    105.92x = 16,797.63
  5. Step 5: Solve for x
    x = 16,797.63/105.92
  6. Step 6: Final answer
    x = 158.59

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.