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Finding the Fourth Proportional to 133.97, 184.83 and 106.25

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Solution

The fourth proportional to 133.97, 184.83 and 106.25 is: 146.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    133.97 : 184.83 = 106.25 : x
  2. Step 2: Convert to fraction form
    133.97/184.83 = 106.25/x
  3. Step 3: Cross multiply
    133.97x = 184.83 × 106.25
  4. Step 4: Simplify right side
    133.97x = 19,637.96
  5. Step 5: Solve for x
    x = 19,637.96/133.97
  6. Step 6: Final answer
    x = 146.59

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Why These Related Problems?

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