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Finding the Fourth Proportional to 132.27, 199.24 and 122.24

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Solution

The fourth proportional to 132.27, 199.24 and 122.24 is: 184.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    132.27 : 199.24 = 122.24 : x
  2. Step 2: Convert to fraction form
    132.27/199.24 = 122.24/x
  3. Step 3: Cross multiply
    132.27x = 199.24 × 122.24
  4. Step 4: Simplify right side
    132.27x = 24,355.10
  5. Step 5: Solve for x
    x = 24,355.10/132.27
  6. Step 6: Final answer
    x = 184.13

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.