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Finding the Fourth Proportional to 126.88, 189.11 and 120.04

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Solution

The fourth proportional to 126.88, 189.11 and 120.04 is: 178.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    126.88 : 189.11 = 120.04 : x
  2. Step 2: Convert to fraction form
    126.88/189.11 = 120.04/x
  3. Step 3: Cross multiply
    126.88x = 189.11 × 120.04
  4. Step 4: Simplify right side
    126.88x = 22,700.76
  5. Step 5: Solve for x
    x = 22,700.76/126.88
  6. Step 6: Final answer
    x = 178.92

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.