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Finding the Fourth Proportional to 126.36, 174.34 and 82.69

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Solution

The fourth proportional to 126.36, 174.34 and 82.69 is: 114.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    126.36 : 174.34 = 82.69 : x
  2. Step 2: Convert to fraction form
    126.36/174.34 = 82.69/x
  3. Step 3: Cross multiply
    126.36x = 174.34 × 82.69
  4. Step 4: Simplify right side
    126.36x = 14,416.17
  5. Step 5: Solve for x
    x = 14,416.17/126.36
  6. Step 6: Final answer
    x = 114.09

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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.