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Finding the Fourth Proportional to 106.92, 159.75 and 105.96

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Solution

The fourth proportional to 106.92, 159.75 and 105.96 is: 158.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    106.92 : 159.75 = 105.96 : x
  2. Step 2: Convert to fraction form
    106.92/159.75 = 105.96/x
  3. Step 3: Cross multiply
    106.92x = 159.75 × 105.96
  4. Step 4: Simplify right side
    106.92x = 16,927.11
  5. Step 5: Solve for x
    x = 16,927.11/106.92
  6. Step 6: Final answer
    x = 158.32

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.