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Finding the Fourth Proportional to 109.75, 164.49 and 66.39

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Solution

The fourth proportional to 109.75, 164.49 and 66.39 is: 99.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    109.75 : 164.49 = 66.39 : x
  2. Step 2: Convert to fraction form
    109.75/164.49 = 66.39/x
  3. Step 3: Cross multiply
    109.75x = 164.49 × 66.39
  4. Step 4: Simplify right side
    109.75x = 10,920.49
  5. Step 5: Solve for x
    x = 10,920.49/109.75
  6. Step 6: Final answer
    x = 99.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.