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Finding the Fourth Proportional to 151.88, 209.64 and 122.84

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Solution

The fourth proportional to 151.88, 209.64 and 122.84 is: 169.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    151.88 : 209.64 = 122.84 : x
  2. Step 2: Convert to fraction form
    151.88/209.64 = 122.84/x
  3. Step 3: Cross multiply
    151.88x = 209.64 × 122.84
  4. Step 4: Simplify right side
    151.88x = 25,752.18
  5. Step 5: Solve for x
    x = 25,752.18/151.88
  6. Step 6: Final answer
    x = 169.56

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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.