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Finding the Fourth Proportional to 133.09, 199.10 and 110.31

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Solution

The fourth proportional to 133.09, 199.10 and 110.31 is: 165.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    133.09 : 199.10 = 110.31 : x
  2. Step 2: Convert to fraction form
    133.09/199.10 = 110.31/x
  3. Step 3: Cross multiply
    133.09x = 199.10 × 110.31
  4. Step 4: Simplify right side
    133.09x = 21,961.17
  5. Step 5: Solve for x
    x = 21,961.17/133.09
  6. Step 6: Final answer
    x = 165.02

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.