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Finding the Fourth Proportional to 129.81, 194.49 and 91.22

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Solution

The fourth proportional to 129.81, 194.49 and 91.22 is: 136.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    129.81 : 194.49 = 91.22 : x
  2. Step 2: Convert to fraction form
    129.81/194.49 = 91.22/x
  3. Step 3: Cross multiply
    129.81x = 194.49 × 91.22
  4. Step 4: Simplify right side
    129.81x = 17,741.47
  5. Step 5: Solve for x
    x = 17,741.47/129.81
  6. Step 6: Final answer
    x = 136.68

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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.