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Finding the Fourth Proportional to 110.53, 165.98 and 109.69

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Solution

The fourth proportional to 110.53, 165.98 and 109.69 is: 164.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    110.53 : 165.98 = 109.69 : x
  2. Step 2: Convert to fraction form
    110.53/165.98 = 109.69/x
  3. Step 3: Cross multiply
    110.53x = 165.98 × 109.69
  4. Step 4: Simplify right side
    110.53x = 18,205.80
  5. Step 5: Solve for x
    x = 18,205.80/110.53
  6. Step 6: Final answer
    x = 164.71

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.