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Finding the Fourth Proportional to 151.97, 209.63 and 108.32

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Solution

The fourth proportional to 151.97, 209.63 and 108.32 is: 149.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    151.97 : 209.63 = 108.32 : x
  2. Step 2: Convert to fraction form
    151.97/209.63 = 108.32/x
  3. Step 3: Cross multiply
    151.97x = 209.63 × 108.32
  4. Step 4: Simplify right side
    151.97x = 22,706.58
  5. Step 5: Solve for x
    x = 22,706.58/151.97
  6. Step 6: Final answer
    x = 149.41

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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.