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Finding the Fourth Proportional to 192.91, 266.22 and 105.59

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Solution

The fourth proportional to 192.91, 266.22 and 105.59 is: 145.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    192.91 : 266.22 = 105.59 : x
  2. Step 2: Convert to fraction form
    192.91/266.22 = 105.59/x
  3. Step 3: Cross multiply
    192.91x = 266.22 × 105.59
  4. Step 4: Simplify right side
    192.91x = 28,108.31
  5. Step 5: Solve for x
    x = 28,108.31/192.91
  6. Step 6: Final answer
    x = 145.71

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.