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Finding the Fourth Proportional to 129.32, 194.38 and 122.92

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Solution

The fourth proportional to 129.32, 194.38 and 122.92 is: 184.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    129.32 : 194.38 = 122.92 : x
  2. Step 2: Convert to fraction form
    129.32/194.38 = 122.92/x
  3. Step 3: Cross multiply
    129.32x = 194.38 × 122.92
  4. Step 4: Simplify right side
    129.32x = 23,893.19
  5. Step 5: Solve for x
    x = 23,893.19/129.32
  6. Step 6: Final answer
    x = 184.76

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