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Finding the Fourth Proportional to 149.56, 206.42 and 104.68

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Solution

The fourth proportional to 149.56, 206.42 and 104.68 is: 144.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    149.56 : 206.42 = 104.68 : x
  2. Step 2: Convert to fraction form
    149.56/206.42 = 104.68/x
  3. Step 3: Cross multiply
    149.56x = 206.42 × 104.68
  4. Step 4: Simplify right side
    149.56x = 21,608.05
  5. Step 5: Solve for x
    x = 21,608.05/149.56
  6. Step 6: Final answer
    x = 144.48

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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.