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Finding the Fourth Proportional to 109.17, 164.32 and 95.94

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Solution

The fourth proportional to 109.17, 164.32 and 95.94 is: 144.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    109.17 : 164.32 = 95.94 : x
  2. Step 2: Convert to fraction form
    109.17/164.32 = 95.94/x
  3. Step 3: Cross multiply
    109.17x = 164.32 × 95.94
  4. Step 4: Simplify right side
    109.17x = 15,764.62
  5. Step 5: Solve for x
    x = 15,764.62/109.17
  6. Step 6: Final answer
    x = 144.40

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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.