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Finding the Fourth Proportional to 129.12, 194.94 and 127.44

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Solution

The fourth proportional to 129.12, 194.94 and 127.44 is: 192.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    129.12 : 194.94 = 127.44 : x
  2. Step 2: Convert to fraction form
    129.12/194.94 = 127.44/x
  3. Step 3: Cross multiply
    129.12x = 194.94 × 127.44
  4. Step 4: Simplify right side
    129.12x = 24,843.15
  5. Step 5: Solve for x
    x = 24,843.15/129.12
  6. Step 6: Final answer
    x = 192.40

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.