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Finding the Fourth Proportional to 133.03, 198.59 and 112.55

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Solution

The fourth proportional to 133.03, 198.59 and 112.55 is: 168.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    133.03 : 198.59 = 112.55 : x
  2. Step 2: Convert to fraction form
    133.03/198.59 = 112.55/x
  3. Step 3: Cross multiply
    133.03x = 198.59 × 112.55
  4. Step 4: Simplify right side
    133.03x = 22,351.30
  5. Step 5: Solve for x
    x = 22,351.30/133.03
  6. Step 6: Final answer
    x = 168.02

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