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Finding the Fourth Proportional to 132.75, 183.24 and 94.05

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Solution

The fourth proportional to 132.75, 183.24 and 94.05 is: 129.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    132.75 : 183.24 = 94.05 : x
  2. Step 2: Convert to fraction form
    132.75/183.24 = 94.05/x
  3. Step 3: Cross multiply
    132.75x = 183.24 × 94.05
  4. Step 4: Simplify right side
    132.75x = 17,233.72
  5. Step 5: Solve for x
    x = 17,233.72/132.75
  6. Step 6: Final answer
    x = 129.82

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Why These Related Problems?

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