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Finding the Fourth Proportional to 126.19, 173.78 and 109.58

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Solution

The fourth proportional to 126.19, 173.78 and 109.58 is: 150.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    126.19 : 173.78 = 109.58 : x
  2. Step 2: Convert to fraction form
    126.19/173.78 = 109.58/x
  3. Step 3: Cross multiply
    126.19x = 173.78 × 109.58
  4. Step 4: Simplify right side
    126.19x = 19,042.26
  5. Step 5: Solve for x
    x = 19,042.26/126.19
  6. Step 6: Final answer
    x = 150.91

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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.