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Finding the Fourth Proportional to 126.24, 189.09 and 74.91

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Solution

The fourth proportional to 126.24, 189.09 and 74.91 is: 112.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    126.24 : 189.09 = 74.91 : x
  2. Step 2: Convert to fraction form
    126.24/189.09 = 74.91/x
  3. Step 3: Cross multiply
    126.24x = 189.09 × 74.91
  4. Step 4: Simplify right side
    126.24x = 14,164.73
  5. Step 5: Solve for x
    x = 14,164.73/126.24
  6. Step 6: Final answer
    x = 112.20

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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.