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Finding the Fourth Proportional to 126.29, 189.05 and 107.84

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Solution

The fourth proportional to 126.29, 189.05 and 107.84 is: 161.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    126.29 : 189.05 = 107.84 : x
  2. Step 2: Convert to fraction form
    126.29/189.05 = 107.84/x
  3. Step 3: Cross multiply
    126.29x = 189.05 × 107.84
  4. Step 4: Simplify right side
    126.29x = 20,386.61
  5. Step 5: Solve for x
    x = 20,386.61/126.29
  6. Step 6: Final answer
    x = 161.43

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.