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Finding the Fourth Proportional to 137.52, 205.76 and 119.68

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Solution

The fourth proportional to 137.52, 205.76 and 119.68 is: 179.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    137.52 : 205.76 = 119.68 : x
  2. Step 2: Convert to fraction form
    137.52/205.76 = 119.68/x
  3. Step 3: Cross multiply
    137.52x = 205.76 × 119.68
  4. Step 4: Simplify right side
    137.52x = 24,625.36
  5. Step 5: Solve for x
    x = 24,625.36/137.52
  6. Step 6: Final answer
    x = 179.07

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.