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Finding the Fourth Proportional to 137.86, 206.74 and 51.17

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Solution

The fourth proportional to 137.86, 206.74 and 51.17 is: 76.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    137.86 : 206.74 = 51.17 : x
  2. Step 2: Convert to fraction form
    137.86/206.74 = 51.17/x
  3. Step 3: Cross multiply
    137.86x = 206.74 × 51.17
  4. Step 4: Simplify right side
    137.86x = 10,578.89
  5. Step 5: Solve for x
    x = 10,578.89/137.86
  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.