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Finding the Fourth Proportional to 137.27, 205.94 and 41.08

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Solution

The fourth proportional to 137.27, 205.94 and 41.08 is: 61.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    137.27 : 205.94 = 41.08 : x
  2. Step 2: Convert to fraction form
    137.27/205.94 = 41.08/x
  3. Step 3: Cross multiply
    137.27x = 205.94 × 41.08
  4. Step 4: Simplify right side
    137.27x = 8,460.12
  5. Step 5: Solve for x
    x = 8,460.12/137.27
  6. Step 6: Final answer
    x = 61.63

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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.