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Finding the Fourth Proportional to 110.72, 167.04 and 105.68

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Solution

The fourth proportional to 110.72, 167.04 and 105.68 is: 159.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    110.72 : 167.04 = 105.68 : x
  2. Step 2: Convert to fraction form
    110.72/167.04 = 105.68/x
  3. Step 3: Cross multiply
    110.72x = 167.04 × 105.68
  4. Step 4: Simplify right side
    110.72x = 17,652.79
  5. Step 5: Solve for x
    x = 17,652.79/110.72
  6. Step 6: Final answer
    x = 159.44

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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.