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Finding the Fourth Proportional to 133.56, 183.90 and 113.85

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Solution

The fourth proportional to 133.56, 183.90 and 113.85 is: 156.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    133.56 : 183.90 = 113.85 : x
  2. Step 2: Convert to fraction form
    133.56/183.90 = 113.85/x
  3. Step 3: Cross multiply
    133.56x = 183.90 × 113.85
  4. Step 4: Simplify right side
    133.56x = 20,937.02
  5. Step 5: Solve for x
    x = 20,937.02/133.56
  6. Step 6: Final answer
    x = 156.76

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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.