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Finding the Fourth Proportional to 137.72, 205.56 and 133.47

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Solution

The fourth proportional to 137.72, 205.56 and 133.47 is: 199.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    137.72 : 205.56 = 133.47 : x
  2. Step 2: Convert to fraction form
    137.72/205.56 = 133.47/x
  3. Step 3: Cross multiply
    137.72x = 205.56 × 133.47
  4. Step 4: Simplify right side
    137.72x = 27,436.09
  5. Step 5: Solve for x
    x = 27,436.09/137.72
  6. Step 6: Final answer
    x = 199.21

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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.