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Finding the Fourth Proportional to 129.72, 194.44 and 61.28

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Solution

The fourth proportional to 129.72, 194.44 and 61.28 is: 91.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    129.72 : 194.44 = 61.28 : x
  2. Step 2: Convert to fraction form
    129.72/194.44 = 61.28/x
  3. Step 3: Cross multiply
    129.72x = 194.44 × 61.28
  4. Step 4: Simplify right side
    129.72x = 11,915.28
  5. Step 5: Solve for x
    x = 11,915.28/129.72
  6. Step 6: Final answer
    x = 91.85

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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.