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Finding the Fourth Proportional to 137.62, 205.32 and 131.63

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Solution

The fourth proportional to 137.62, 205.32 and 131.63 is: 196.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    137.62 : 205.32 = 131.63 : x
  2. Step 2: Convert to fraction form
    137.62/205.32 = 131.63/x
  3. Step 3: Cross multiply
    137.62x = 205.32 × 131.63
  4. Step 4: Simplify right side
    137.62x = 27,026.27
  5. Step 5: Solve for x
    x = 27,026.27/137.62
  6. Step 6: Final answer
    x = 196.38

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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.