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Finding the Fourth Proportional to 132.82, 183.30 and 83.05

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Solution

The fourth proportional to 132.82, 183.30 and 83.05 is: 114.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    132.82 : 183.30 = 83.05 : x
  2. Step 2: Convert to fraction form
    132.82/183.30 = 83.05/x
  3. Step 3: Cross multiply
    132.82x = 183.30 × 83.05
  4. Step 4: Simplify right side
    132.82x = 15,223.07
  5. Step 5: Solve for x
    x = 15,223.07/132.82
  6. Step 6: Final answer
    x = 114.61

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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.