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Finding the Fourth Proportional to 133.22, 198.82 and 110

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Solution

The fourth proportional to 133.22, 198.82 and 110 is: 164.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    133.22 : 198.82 = 110 : x
  2. Step 2: Convert to fraction form
    133.22/198.82 = 110/x
  3. Step 3: Cross multiply
    133.22x = 198.82 × 110
  4. Step 4: Simplify right side
    133.22x = 21,870.20
  5. Step 5: Solve for x
    x = 21,870.20/133.22
  6. Step 6: Final answer
    x = 164.17

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.