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Finding the Fourth Proportional to 111.09, 165.64 and 109.74

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Solution

The fourth proportional to 111.09, 165.64 and 109.74 is: 163.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    111.09 : 165.64 = 109.74 : x
  2. Step 2: Convert to fraction form
    111.09/165.64 = 109.74/x
  3. Step 3: Cross multiply
    111.09x = 165.64 × 109.74
  4. Step 4: Simplify right side
    111.09x = 18,177.33
  5. Step 5: Solve for x
    x = 18,177.33/111.09
  6. Step 6: Final answer
    x = 163.63

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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.