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Finding the Fourth Proportional to 137.84, 206.71 and 68.39

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Solution

The fourth proportional to 137.84, 206.71 and 68.39 is: 102.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    137.84 : 206.71 = 68.39 : x
  2. Step 2: Convert to fraction form
    137.84/206.71 = 68.39/x
  3. Step 3: Cross multiply
    137.84x = 206.71 × 68.39
  4. Step 4: Simplify right side
    137.84x = 14,135.52
  5. Step 5: Solve for x
    x = 14,135.52/137.84
  6. Step 6: Final answer
    x = 102.55

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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.