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Finding the Fourth Proportional to 133.26, 198.93 and 111.60

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Solution

The fourth proportional to 133.26, 198.93 and 111.60 is: 166.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    133.26 : 198.93 = 111.60 : x
  2. Step 2: Convert to fraction form
    133.26/198.93 = 111.60/x
  3. Step 3: Cross multiply
    133.26x = 198.93 × 111.60
  4. Step 4: Simplify right side
    133.26x = 22,200.59
  5. Step 5: Solve for x
    x = 22,200.59/133.26
  6. Step 6: Final answer
    x = 166.60

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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.