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Finding the Fourth Proportional to 137.56, 206.34 and 52

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Solution

The fourth proportional to 137.56, 206.34 and 52 is: 78

Step by Step Solution

  1. Step 1: Write the proportion equation
    137.56 : 206.34 = 52 : x
  2. Step 2: Convert to fraction form
    137.56/206.34 = 52/x
  3. Step 3: Cross multiply
    137.56x = 206.34 × 52
  4. Step 4: Simplify right side
    137.56x = 10,729.68
  5. Step 5: Solve for x
    x = 10,729.68/137.56
  6. Step 6: Final answer
    x = 78

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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.