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Finding the Fourth Proportional to 149.18, 205.86 and 82.79

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Solution

The fourth proportional to 149.18, 205.86 and 82.79 is: 114.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    149.18 : 205.86 = 82.79 : x
  2. Step 2: Convert to fraction form
    149.18/205.86 = 82.79/x
  3. Step 3: Cross multiply
    149.18x = 205.86 × 82.79
  4. Step 4: Simplify right side
    149.18x = 17,043.15
  5. Step 5: Solve for x
    x = 17,043.15/149.18
  6. Step 6: Final answer
    x = 114.25

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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.