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Finding the Fourth Proportional to 137.61, 205.11 and 134.91

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Solution

The fourth proportional to 137.61, 205.11 and 134.91 is: 201.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    137.61 : 205.11 = 134.91 : x
  2. Step 2: Convert to fraction form
    137.61/205.11 = 134.91/x
  3. Step 3: Cross multiply
    137.61x = 205.11 × 134.91
  4. Step 4: Simplify right side
    137.61x = 27,671.39
  5. Step 5: Solve for x
    x = 27,671.39/137.61
  6. Step 6: Final answer
    x = 201.09

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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.