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Finding the Fourth Proportional to 137.91, 190.41 and 85.52

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Solution

The fourth proportional to 137.91, 190.41 and 85.52 is: 118.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    137.91 : 190.41 = 85.52 : x
  2. Step 2: Convert to fraction form
    137.91/190.41 = 85.52/x
  3. Step 3: Cross multiply
    137.91x = 190.41 × 85.52
  4. Step 4: Simplify right side
    137.91x = 16,283.44
  5. Step 5: Solve for x
    x = 16,283.44/137.91
  6. Step 6: Final answer
    x = 118.07

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.