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Finding the Fourth Proportional to 132.89, 183.37 and 83.75

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Solution

The fourth proportional to 132.89, 183.37 and 83.75 is: 115.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    132.89 : 183.37 = 83.75 : x
  2. Step 2: Convert to fraction form
    132.89/183.37 = 83.75/x
  3. Step 3: Cross multiply
    132.89x = 183.37 × 83.75
  4. Step 4: Simplify right side
    132.89x = 15,357.49
  5. Step 5: Solve for x
    x = 15,357.49/132.89
  6. Step 6: Final answer
    x = 115.57

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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.