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Finding the Fourth Proportional to 140.19, 209.19 and 110.97

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Solution

The fourth proportional to 140.19, 209.19 and 110.97 is: 165.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    140.19 : 209.19 = 110.97 : x
  2. Step 2: Convert to fraction form
    140.19/209.19 = 110.97/x
  3. Step 3: Cross multiply
    140.19x = 209.19 × 110.97
  4. Step 4: Simplify right side
    140.19x = 23,213.81
  5. Step 5: Solve for x
    x = 23,213.81/140.19
  6. Step 6: Final answer
    x = 165.59

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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.