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Finding the Fourth Proportional to 126.50, 175.37 and 119.57

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Solution

The fourth proportional to 126.50, 175.37 and 119.57 is: 165.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    126.50 : 175.37 = 119.57 : x
  2. Step 2: Convert to fraction form
    126.50/175.37 = 119.57/x
  3. Step 3: Cross multiply
    126.50x = 175.37 × 119.57
  4. Step 4: Simplify right side
    126.50x = 20,968.38
  5. Step 5: Solve for x
    x = 20,968.38/126.50
  6. Step 6: Final answer
    x = 165.76

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.