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Finding the Fourth Proportional to 126.23, 190.27 and 115.83

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Solution

The fourth proportional to 126.23, 190.27 and 115.83 is: 174.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    126.23 : 190.27 = 115.83 : x
  2. Step 2: Convert to fraction form
    126.23/190.27 = 115.83/x
  3. Step 3: Cross multiply
    126.23x = 190.27 × 115.83
  4. Step 4: Simplify right side
    126.23x = 22,038.02
  5. Step 5: Solve for x
    x = 22,038.02/126.23
  6. Step 6: Final answer
    x = 174.59

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Why These Related Problems?

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