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Finding the Fourth Proportional to 149.77, 206.47 and 122.09

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Solution

The fourth proportional to 149.77, 206.47 and 122.09 is: 168.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    149.77 : 206.47 = 122.09 : x
  2. Step 2: Convert to fraction form
    149.77/206.47 = 122.09/x
  3. Step 3: Cross multiply
    149.77x = 206.47 × 122.09
  4. Step 4: Simplify right side
    149.77x = 25,207.92
  5. Step 5: Solve for x
    x = 25,207.92/149.77
  6. Step 6: Final answer
    x = 168.31

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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.