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Finding the Fourth Proportional to 133.73, 199.74 and 106.59

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Solution

The fourth proportional to 133.73, 199.74 and 106.59 is: 159.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    133.73 : 199.74 = 106.59 : x
  2. Step 2: Convert to fraction form
    133.73/199.74 = 106.59/x
  3. Step 3: Cross multiply
    133.73x = 199.74 × 106.59
  4. Step 4: Simplify right side
    133.73x = 21,290.29
  5. Step 5: Solve for x
    x = 21,290.29/133.73
  6. Step 6: Final answer
    x = 159.21

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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.