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Finding the Fourth Proportional to 137.52, 205.23 and 119.52

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Solution

The fourth proportional to 137.52, 205.23 and 119.52 is: 178.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    137.52 : 205.23 = 119.52 : x
  2. Step 2: Convert to fraction form
    137.52/205.23 = 119.52/x
  3. Step 3: Cross multiply
    137.52x = 205.23 × 119.52
  4. Step 4: Simplify right side
    137.52x = 24,529.09
  5. Step 5: Solve for x
    x = 24,529.09/137.52
  6. Step 6: Final answer
    x = 178.37

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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.