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Finding the Fourth Proportional to 129.18, 192.83 and 119.66

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Solution

The fourth proportional to 129.18, 192.83 and 119.66 is: 178.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    129.18 : 192.83 = 119.66 : x
  2. Step 2: Convert to fraction form
    129.18/192.83 = 119.66/x
  3. Step 3: Cross multiply
    129.18x = 192.83 × 119.66
  4. Step 4: Simplify right side
    129.18x = 23,074.23
  5. Step 5: Solve for x
    x = 23,074.23/129.18
  6. Step 6: Final answer
    x = 178.62

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Why These Related Problems?

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