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Finding the Fourth Proportional to 154.97, 213.86 and 85.97

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Solution

The fourth proportional to 154.97, 213.86 and 85.97 is: 118.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    154.97 : 213.86 = 85.97 : x
  2. Step 2: Convert to fraction form
    154.97/213.86 = 85.97/x
  3. Step 3: Cross multiply
    154.97x = 213.86 × 85.97
  4. Step 4: Simplify right side
    154.97x = 18,385.54
  5. Step 5: Solve for x
    x = 18,385.54/154.97
  6. Step 6: Final answer
    x = 118.64

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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.