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Finding the Fourth Proportional to 129.46, 192.81 and 121.02

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Solution

The fourth proportional to 129.46, 192.81 and 121.02 is: 180.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    129.46 : 192.81 = 121.02 : x
  2. Step 2: Convert to fraction form
    129.46/192.81 = 121.02/x
  3. Step 3: Cross multiply
    129.46x = 192.81 × 121.02
  4. Step 4: Simplify right side
    129.46x = 23,333.87
  5. Step 5: Solve for x
    x = 23,333.87/129.46
  6. Step 6: Final answer
    x = 180.24

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.