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Finding the Fourth Proportional to 109.67, 165.07 and 96.44

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Solution

The fourth proportional to 109.67, 165.07 and 96.44 is: 145.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    109.67 : 165.07 = 96.44 : x
  2. Step 2: Convert to fraction form
    109.67/165.07 = 96.44/x
  3. Step 3: Cross multiply
    109.67x = 165.07 × 96.44
  4. Step 4: Simplify right side
    109.67x = 15,919.35
  5. Step 5: Solve for x
    x = 15,919.35/109.67
  6. Step 6: Final answer
    x = 145.16

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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.