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Finding the Fourth Proportional to 126.12, 189.18 and 79.23

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Solution

The fourth proportional to 126.12, 189.18 and 79.23 is: 118.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    126.12 : 189.18 = 79.23 : x
  2. Step 2: Convert to fraction form
    126.12/189.18 = 79.23/x
  3. Step 3: Cross multiply
    126.12x = 189.18 × 79.23
  4. Step 4: Simplify right side
    126.12x = 14,988.73
  5. Step 5: Solve for x
    x = 14,988.73/126.12
  6. Step 6: Final answer
    x = 118.85

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