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Finding the Fourth Proportional to 126.84, 174.84 and 102.26

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Solution

The fourth proportional to 126.84, 174.84 and 102.26 is: 140.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    126.84 : 174.84 = 102.26 : x
  2. Step 2: Convert to fraction form
    126.84/174.84 = 102.26/x
  3. Step 3: Cross multiply
    126.84x = 174.84 × 102.26
  4. Step 4: Simplify right side
    126.84x = 17,879.14
  5. Step 5: Solve for x
    x = 17,879.14/126.84
  6. Step 6: Final answer
    x = 140.96

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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.