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Finding the Fourth Proportional to 151.90, 209.49 and 102.12

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Solution

The fourth proportional to 151.90, 209.49 and 102.12 is: 140.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    151.90 : 209.49 = 102.12 : x
  2. Step 2: Convert to fraction form
    151.90/209.49 = 102.12/x
  3. Step 3: Cross multiply
    151.90x = 209.49 × 102.12
  4. Step 4: Simplify right side
    151.90x = 21,392.33
  5. Step 5: Solve for x
    x = 21,392.33/151.90
  6. Step 6: Final answer
    x = 140.83

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.