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Finding the Fourth Proportional to 133.26, 199.77 and 110.39

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Solution

The fourth proportional to 133.26, 199.77 and 110.39 is: 165.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    133.26 : 199.77 = 110.39 : x
  2. Step 2: Convert to fraction form
    133.26/199.77 = 110.39/x
  3. Step 3: Cross multiply
    133.26x = 199.77 × 110.39
  4. Step 4: Simplify right side
    133.26x = 22,051.61
  5. Step 5: Solve for x
    x = 22,051.61/133.26
  6. Step 6: Final answer
    x = 165.48

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