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Finding the Fourth Proportional to 153.86, 212.23 and 122.73

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Solution

The fourth proportional to 153.86, 212.23 and 122.73 is: 169.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    153.86 : 212.23 = 122.73 : x
  2. Step 2: Convert to fraction form
    153.86/212.23 = 122.73/x
  3. Step 3: Cross multiply
    153.86x = 212.23 × 122.73
  4. Step 4: Simplify right side
    153.86x = 26,046.99
  5. Step 5: Solve for x
    x = 26,046.99/153.86
  6. Step 6: Final answer
    x = 169.29

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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.