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Finding the Fourth Proportional to 137.41, 206.14 and 50.75

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Solution

The fourth proportional to 137.41, 206.14 and 50.75 is: 76.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    137.41 : 206.14 = 50.75 : x
  2. Step 2: Convert to fraction form
    137.41/206.14 = 50.75/x
  3. Step 3: Cross multiply
    137.41x = 206.14 × 50.75
  4. Step 4: Simplify right side
    137.41x = 10,461.61
  5. Step 5: Solve for x
    x = 10,461.61/137.41
  6. Step 6: Final answer
    x = 76.13

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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.