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Finding the Fourth Proportional to 134.71, 185.94 and 82.25

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Solution

The fourth proportional to 134.71, 185.94 and 82.25 is: 113.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    134.71 : 185.94 = 82.25 : x
  2. Step 2: Convert to fraction form
    134.71/185.94 = 82.25/x
  3. Step 3: Cross multiply
    134.71x = 185.94 × 82.25
  4. Step 4: Simplify right side
    134.71x = 15,293.57
  5. Step 5: Solve for x
    x = 15,293.57/134.71
  6. Step 6: Final answer
    x = 113.53

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.