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Finding the Fourth Proportional to 133.97, 185.74 and 126.68

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Solution

The fourth proportional to 133.97, 185.74 and 126.68 is: 175.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    133.97 : 185.74 = 126.68 : x
  2. Step 2: Convert to fraction form
    133.97/185.74 = 126.68/x
  3. Step 3: Cross multiply
    133.97x = 185.74 × 126.68
  4. Step 4: Simplify right side
    133.97x = 23,528.77
  5. Step 5: Solve for x
    x = 23,528.77/133.97
  6. Step 6: Final answer
    x = 175.63

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.