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Finding the Fourth Proportional to 149.06, 205.72 and 82.69

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Solution

The fourth proportional to 149.06, 205.72 and 82.69 is: 114.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    149.06 : 205.72 = 82.69 : x
  2. Step 2: Convert to fraction form
    149.06/205.72 = 82.69/x
  3. Step 3: Cross multiply
    149.06x = 205.72 × 82.69
  4. Step 4: Simplify right side
    149.06x = 17,010.27
  5. Step 5: Solve for x
    x = 17,010.27/149.06
  6. Step 6: Final answer
    x = 114.11

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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.