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Finding the Fourth Proportional to 137.82, 206.76 and 51.15

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Solution

The fourth proportional to 137.82, 206.76 and 51.15 is: 76.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    137.82 : 206.76 = 51.15 : x
  2. Step 2: Convert to fraction form
    137.82/206.76 = 51.15/x
  3. Step 3: Cross multiply
    137.82x = 206.76 × 51.15
  4. Step 4: Simplify right side
    137.82x = 10,575.77
  5. Step 5: Solve for x
    x = 10,575.77/137.82
  6. Step 6: Final answer
    x = 76.74

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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.