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Finding the Fourth Proportional to 137.23, 205.78 and 50.56

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Solution

The fourth proportional to 137.23, 205.78 and 50.56 is: 75.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    137.23 : 205.78 = 50.56 : x
  2. Step 2: Convert to fraction form
    137.23/205.78 = 50.56/x
  3. Step 3: Cross multiply
    137.23x = 205.78 × 50.56
  4. Step 4: Simplify right side
    137.23x = 10,403.98
  5. Step 5: Solve for x
    x = 10,403.98/137.23
  6. Step 6: Final answer
    x = 75.81

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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.