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Finding the Fourth Proportional to 134.97, 202.14 and 83.66

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Solution

The fourth proportional to 134.97, 202.14 and 83.66 is: 125.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    134.97 : 202.14 = 83.66 : x
  2. Step 2: Convert to fraction form
    134.97/202.14 = 83.66/x
  3. Step 3: Cross multiply
    134.97x = 202.14 × 83.66
  4. Step 4: Simplify right side
    134.97x = 16,910.02
  5. Step 5: Solve for x
    x = 16,910.02/134.97
  6. Step 6: Final answer
    x = 125.29

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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.