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Finding the Fourth Proportional to 134.11, 200.93 and 82.62

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Solution

The fourth proportional to 134.11, 200.93 and 82.62 is: 123.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    134.11 : 200.93 = 82.62 : x
  2. Step 2: Convert to fraction form
    134.11/200.93 = 82.62/x
  3. Step 3: Cross multiply
    134.11x = 200.93 × 82.62
  4. Step 4: Simplify right side
    134.11x = 16,600.89
  5. Step 5: Solve for x
    x = 16,600.89/134.11
  6. Step 6: Final answer
    x = 123.79

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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.