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Finding the Fourth Proportional to 111.20, 165.79 and 108.35

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Solution

The fourth proportional to 111.20, 165.79 and 108.35 is: 161.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    111.20 : 165.79 = 108.35 : x
  2. Step 2: Convert to fraction form
    111.20/165.79 = 108.35/x
  3. Step 3: Cross multiply
    111.20x = 165.79 × 108.35
  4. Step 4: Simplify right side
    111.20x = 17,963.35
  5. Step 5: Solve for x
    x = 17,963.35/111.20
  6. Step 6: Final answer
    x = 161.54

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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.