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Finding the Fourth Proportional to 109.75, 165.49 and 107.69

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Solution

The fourth proportional to 109.75, 165.49 and 107.69 is: 162.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    109.75 : 165.49 = 107.69 : x
  2. Step 2: Convert to fraction form
    109.75/165.49 = 107.69/x
  3. Step 3: Cross multiply
    109.75x = 165.49 × 107.69
  4. Step 4: Simplify right side
    109.75x = 17,821.76
  5. Step 5: Solve for x
    x = 17,821.76/109.75
  6. Step 6: Final answer
    x = 162.39

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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.