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Finding the Fourth Proportional to 129.38, 193.64 and 92.24

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Solution

The fourth proportional to 129.38, 193.64 and 92.24 is: 138.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    129.38 : 193.64 = 92.24 : x
  2. Step 2: Convert to fraction form
    129.38/193.64 = 92.24/x
  3. Step 3: Cross multiply
    129.38x = 193.64 × 92.24
  4. Step 4: Simplify right side
    129.38x = 17,861.35
  5. Step 5: Solve for x
    x = 17,861.35/129.38
  6. Step 6: Final answer
    x = 138.05

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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.