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Finding the Fourth Proportional to 129.57, 194.21 and 60.99

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Solution

The fourth proportional to 129.57, 194.21 and 60.99 is: 91.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    129.57 : 194.21 = 60.99 : x
  2. Step 2: Convert to fraction form
    129.57/194.21 = 60.99/x
  3. Step 3: Cross multiply
    129.57x = 194.21 × 60.99
  4. Step 4: Simplify right side
    129.57x = 11,844.87
  5. Step 5: Solve for x
    x = 11,844.87/129.57
  6. Step 6: Final answer
    x = 91.42

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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.