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Finding the Fourth Proportional to 132.02, 197.82 and 83.82

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Solution

The fourth proportional to 132.02, 197.82 and 83.82 is: 125.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    132.02 : 197.82 = 83.82 : x
  2. Step 2: Convert to fraction form
    132.02/197.82 = 83.82/x
  3. Step 3: Cross multiply
    132.02x = 197.82 × 83.82
  4. Step 4: Simplify right side
    132.02x = 16,581.27
  5. Step 5: Solve for x
    x = 16,581.27/132.02
  6. Step 6: Final answer
    x = 125.60

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.