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Finding the Fourth Proportional to 133.67, 184.53 and 93.85

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Solution

The fourth proportional to 133.67, 184.53 and 93.85 is: 129.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    133.67 : 184.53 = 93.85 : x
  2. Step 2: Convert to fraction form
    133.67/184.53 = 93.85/x
  3. Step 3: Cross multiply
    133.67x = 184.53 × 93.85
  4. Step 4: Simplify right side
    133.67x = 17,318.03
  5. Step 5: Solve for x
    x = 17,318.03/133.67
  6. Step 6: Final answer
    x = 129.56

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.