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Finding the Fourth Proportional to 126.21, 189.68 and 115.27

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Solution

The fourth proportional to 126.21, 189.68 and 115.27 is: 173.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    126.21 : 189.68 = 115.27 : x
  2. Step 2: Convert to fraction form
    126.21/189.68 = 115.27/x
  3. Step 3: Cross multiply
    126.21x = 189.68 × 115.27
  4. Step 4: Simplify right side
    126.21x = 21,864.41
  5. Step 5: Solve for x
    x = 21,864.41/126.21
  6. Step 6: Final answer
    x = 173.24

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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.