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Finding the Fourth Proportional to 140.09, 209.96 and 105.74

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Solution

The fourth proportional to 140.09, 209.96 and 105.74 is: 158.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    140.09 : 209.96 = 105.74 : x
  2. Step 2: Convert to fraction form
    140.09/209.96 = 105.74/x
  3. Step 3: Cross multiply
    140.09x = 209.96 × 105.74
  4. Step 4: Simplify right side
    140.09x = 22,199.59
  5. Step 5: Solve for x
    x = 22,199.59/140.09
  6. Step 6: Final answer
    x = 158.47

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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.