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Finding the Fourth Proportional to 132.19, 182.43 and 83.14

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Solution

The fourth proportional to 132.19, 182.43 and 83.14 is: 114.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    132.19 : 182.43 = 83.14 : x
  2. Step 2: Convert to fraction form
    132.19/182.43 = 83.14/x
  3. Step 3: Cross multiply
    132.19x = 182.43 × 83.14
  4. Step 4: Simplify right side
    132.19x = 15,165.90
  5. Step 5: Solve for x
    x = 15,165.90/132.19
  6. Step 6: Final answer
    x = 114.73

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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.