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Finding the Fourth Proportional to 129.69, 194.53 and 44.19

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Solution

The fourth proportional to 129.69, 194.53 and 44.19 is: 66.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    129.69 : 194.53 = 44.19 : x
  2. Step 2: Convert to fraction form
    129.69/194.53 = 44.19/x
  3. Step 3: Cross multiply
    129.69x = 194.53 × 44.19
  4. Step 4: Simplify right side
    129.69x = 8,596.28
  5. Step 5: Solve for x
    x = 8,596.28/129.69
  6. Step 6: Final answer
    x = 66.28

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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.