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Finding the Fourth Proportional to 149.09, 205.76 and 83.62

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Solution

The fourth proportional to 149.09, 205.76 and 83.62 is: 115.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    149.09 : 205.76 = 83.62 : x
  2. Step 2: Convert to fraction form
    149.09/205.76 = 83.62/x
  3. Step 3: Cross multiply
    149.09x = 205.76 × 83.62
  4. Step 4: Simplify right side
    149.09x = 17,204.20
  5. Step 5: Solve for x
    x = 17,204.20/149.09
  6. Step 6: Final answer
    x = 115.39

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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.