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Finding the Fourth Proportional to 126.18, 174.24 and 119.36

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Solution

The fourth proportional to 126.18, 174.24 and 119.36 is: 164.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    126.18 : 174.24 = 119.36 : x
  2. Step 2: Convert to fraction form
    126.18/174.24 = 119.36/x
  3. Step 3: Cross multiply
    126.18x = 174.24 × 119.36
  4. Step 4: Simplify right side
    126.18x = 20,797.29
  5. Step 5: Solve for x
    x = 20,797.29/126.18
  6. Step 6: Final answer
    x = 164.82

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.