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Finding the Fourth Proportional to 126.74, 189.08 and 120.94

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Solution

The fourth proportional to 126.74, 189.08 and 120.94 is: 180.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    126.74 : 189.08 = 120.94 : x
  2. Step 2: Convert to fraction form
    126.74/189.08 = 120.94/x
  3. Step 3: Cross multiply
    126.74x = 189.08 × 120.94
  4. Step 4: Simplify right side
    126.74x = 22,866.26
  5. Step 5: Solve for x
    x = 22,866.26/126.74
  6. Step 6: Final answer
    x = 180.42

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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.