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Finding the Fourth Proportional to 110.45, 164.32 and 103.97

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Solution

The fourth proportional to 110.45, 164.32 and 103.97 is: 154.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    110.45 : 164.32 = 103.97 : x
  2. Step 2: Convert to fraction form
    110.45/164.32 = 103.97/x
  3. Step 3: Cross multiply
    110.45x = 164.32 × 103.97
  4. Step 4: Simplify right side
    110.45x = 17,084.35
  5. Step 5: Solve for x
    x = 17,084.35/110.45
  6. Step 6: Final answer
    x = 154.68

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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.