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Finding the Fourth Proportional to 149.14, 205.81 and 82.76

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Solution

The fourth proportional to 149.14, 205.81 and 82.76 is: 114.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    149.14 : 205.81 = 82.76 : x
  2. Step 2: Convert to fraction form
    149.14/205.81 = 82.76/x
  3. Step 3: Cross multiply
    149.14x = 205.81 × 82.76
  4. Step 4: Simplify right side
    149.14x = 17,031.39
  5. Step 5: Solve for x
    x = 17,031.39/149.14
  6. Step 6: Final answer
    x = 114.20

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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.