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Finding the Fourth Proportional to 149.14, 205.82 and 83.66

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Solution

The fourth proportional to 149.14, 205.82 and 83.66 is: 115.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    149.14 : 205.82 = 83.66 : x
  2. Step 2: Convert to fraction form
    149.14/205.82 = 83.66/x
  3. Step 3: Cross multiply
    149.14x = 205.82 × 83.66
  4. Step 4: Simplify right side
    149.14x = 17,218.90
  5. Step 5: Solve for x
    x = 17,218.90/149.14
  6. Step 6: Final answer
    x = 115.45

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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.