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Finding the Fourth Proportional to 244.06, 366.14 and 81.74

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Solution

The fourth proportional to 244.06, 366.14 and 81.74 is: 122.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    244.06 : 366.14 = 81.74 : x
  2. Step 2: Convert to fraction form
    244.06/366.14 = 81.74/x
  3. Step 3: Cross multiply
    244.06x = 366.14 × 81.74
  4. Step 4: Simplify right side
    244.06x = 29,928.94
  5. Step 5: Solve for x
    x = 29,928.94/244.06
  6. Step 6: Final answer
    x = 122.63

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.