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Finding the Fourth Proportional to 126, 174 and 108.66

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Solution

The fourth proportional to 126, 174 and 108.66 is: 150.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    126 : 174 = 108.66 : x
  2. Step 2: Convert to fraction form
    126/174 = 108.66/x
  3. Step 3: Cross multiply
    126x = 174 × 108.66
  4. Step 4: Simplify right side
    126x = 18,906.84
  5. Step 5: Solve for x
    x = 18,906.84/126
  6. Step 6: Final answer
    x = 150.05

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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.