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Finding the Fourth Proportional to 126.21, 174.06 and 82.47

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Solution

The fourth proportional to 126.21, 174.06 and 82.47 is: 113.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    126.21 : 174.06 = 82.47 : x
  2. Step 2: Convert to fraction form
    126.21/174.06 = 82.47/x
  3. Step 3: Cross multiply
    126.21x = 174.06 × 82.47
  4. Step 4: Simplify right side
    126.21x = 14,354.73
  5. Step 5: Solve for x
    x = 14,354.73/126.21
  6. Step 6: Final answer
    x = 113.74

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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.