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Finding the Fourth Proportional to 133.00, 182.77 and 126.97

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Solution

The fourth proportional to 133.00, 182.77 and 126.97 is: 174.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    133.00 : 182.77 = 126.97 : x
  2. Step 2: Convert to fraction form
    133.00/182.77 = 126.97/x
  3. Step 3: Cross multiply
    133.00x = 182.77 × 126.97
  4. Step 4: Simplify right side
    133.00x = 23,205.53
  5. Step 5: Solve for x
    x = 23,205.53/133.00
  6. Step 6: Final answer
    x = 174.48

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.