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Finding the Fourth Proportional to 137.47, 206.09 and 50.75

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Solution

The fourth proportional to 137.47, 206.09 and 50.75 is: 76.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    137.47 : 206.09 = 50.75 : x
  2. Step 2: Convert to fraction form
    137.47/206.09 = 50.75/x
  3. Step 3: Cross multiply
    137.47x = 206.09 × 50.75
  4. Step 4: Simplify right side
    137.47x = 10,458.01
  5. Step 5: Solve for x
    x = 10,458.01/137.47
  6. Step 6: Final answer
    x = 76.08

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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.