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Finding the Fourth Proportional to 129.74, 194.40 and 92.99

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Solution

The fourth proportional to 129.74, 194.40 and 92.99 is: 139.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    129.74 : 194.40 = 92.99 : x
  2. Step 2: Convert to fraction form
    129.74/194.40 = 92.99/x
  3. Step 3: Cross multiply
    129.74x = 194.40 × 92.99
  4. Step 4: Simplify right side
    129.74x = 18,077.74
  5. Step 5: Solve for x
    x = 18,077.74/129.74
  6. Step 6: Final answer
    x = 139.34

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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.