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Finding the Fourth Proportional to 126.86, 189.21 and 123

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Solution

The fourth proportional to 126.86, 189.21 and 123 is: 183.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    126.86 : 189.21 = 123 : x
  2. Step 2: Convert to fraction form
    126.86/189.21 = 123/x
  3. Step 3: Cross multiply
    126.86x = 189.21 × 123
  4. Step 4: Simplify right side
    126.86x = 23,272.83
  5. Step 5: Solve for x
    x = 23,272.83/126.86
  6. Step 6: Final answer
    x = 183.46

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