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Finding the Fourth Proportional to 151.97, 209.79 and 107.75

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Solution

The fourth proportional to 151.97, 209.79 and 107.75 is: 148.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    151.97 : 209.79 = 107.75 : x
  2. Step 2: Convert to fraction form
    151.97/209.79 = 107.75/x
  3. Step 3: Cross multiply
    151.97x = 209.79 × 107.75
  4. Step 4: Simplify right side
    151.97x = 22,603.82
  5. Step 5: Solve for x
    x = 22,603.82/151.97
  6. Step 6: Final answer
    x = 148.74

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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.