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Finding the Fourth Proportional to 129.22, 192.77 and 115.54

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Solution

The fourth proportional to 129.22, 192.77 and 115.54 is: 172.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    129.22 : 192.77 = 115.54 : x
  2. Step 2: Convert to fraction form
    129.22/192.77 = 115.54/x
  3. Step 3: Cross multiply
    129.22x = 192.77 × 115.54
  4. Step 4: Simplify right side
    129.22x = 22,272.65
  5. Step 5: Solve for x
    x = 22,272.65/129.22
  6. Step 6: Final answer
    x = 172.36

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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.