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Finding the Fourth Proportional to 126.66, 188.94 and 120.45

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Solution

The fourth proportional to 126.66, 188.94 and 120.45 is: 179.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    126.66 : 188.94 = 120.45 : x
  2. Step 2: Convert to fraction form
    126.66/188.94 = 120.45/x
  3. Step 3: Cross multiply
    126.66x = 188.94 × 120.45
  4. Step 4: Simplify right side
    126.66x = 22,757.82
  5. Step 5: Solve for x
    x = 22,757.82/126.66
  6. Step 6: Final answer
    x = 179.68

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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.