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Finding the Fourth Proportional to 137.96, 206.96 and 51.34

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Solution

The fourth proportional to 137.96, 206.96 and 51.34 is: 77.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    137.96 : 206.96 = 51.34 : x
  2. Step 2: Convert to fraction form
    137.96/206.96 = 51.34/x
  3. Step 3: Cross multiply
    137.96x = 206.96 × 51.34
  4. Step 4: Simplify right side
    137.96x = 10,625.33
  5. Step 5: Solve for x
    x = 10,625.33/137.96
  6. Step 6: Final answer
    x = 77.02

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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.