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Finding the Fourth Proportional to 133.97, 184.81 and 81.51

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Solution

The fourth proportional to 133.97, 184.81 and 81.51 is: 112.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    133.97 : 184.81 = 81.51 : x
  2. Step 2: Convert to fraction form
    133.97/184.81 = 81.51/x
  3. Step 3: Cross multiply
    133.97x = 184.81 × 81.51
  4. Step 4: Simplify right side
    133.97x = 15,063.86
  5. Step 5: Solve for x
    x = 15,063.86/133.97
  6. Step 6: Final answer
    x = 112.44

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