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Finding the Fourth Proportional to 137.84, 206.75 and 84.06

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Solution

The fourth proportional to 137.84, 206.75 and 84.06 is: 126.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    137.84 : 206.75 = 84.06 : x
  2. Step 2: Convert to fraction form
    137.84/206.75 = 84.06/x
  3. Step 3: Cross multiply
    137.84x = 206.75 × 84.06
  4. Step 4: Simplify right side
    137.84x = 17,378.98
  5. Step 5: Solve for x
    x = 17,378.98/137.84
  6. Step 6: Final answer
    x = 126.09

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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.