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Finding the Fourth Proportional to 126.46, 174.54 and 82.81

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Solution

The fourth proportional to 126.46, 174.54 and 82.81 is: 114.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    126.46 : 174.54 = 82.81 : x
  2. Step 2: Convert to fraction form
    126.46/174.54 = 82.81/x
  3. Step 3: Cross multiply
    126.46x = 174.54 × 82.81
  4. Step 4: Simplify right side
    126.46x = 14,453.66
  5. Step 5: Solve for x
    x = 14,453.66/126.46
  6. Step 6: Final answer
    x = 114.29

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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.