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Finding the Fourth Proportional to 126.22, 190.27 and 117.86

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Solution

The fourth proportional to 126.22, 190.27 and 117.86 is: 177.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    126.22 : 190.27 = 117.86 : x
  2. Step 2: Convert to fraction form
    126.22/190.27 = 117.86/x
  3. Step 3: Cross multiply
    126.22x = 190.27 × 117.86
  4. Step 4: Simplify right side
    126.22x = 22,423.98
  5. Step 5: Solve for x
    x = 22,423.98/126.22
  6. Step 6: Final answer
    x = 177.66

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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.