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Finding the Fourth Proportional to 132.87, 183.24 and 83.04

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Solution

The fourth proportional to 132.87, 183.24 and 83.04 is: 114.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    132.87 : 183.24 = 83.04 : x
  2. Step 2: Convert to fraction form
    132.87/183.24 = 83.04/x
  3. Step 3: Cross multiply
    132.87x = 183.24 × 83.04
  4. Step 4: Simplify right side
    132.87x = 15,216.25
  5. Step 5: Solve for x
    x = 15,216.25/132.87
  6. Step 6: Final answer
    x = 114.52

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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.