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Finding the Fourth Proportional to 126.27, 173.50 and 100.35

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Solution

The fourth proportional to 126.27, 173.50 and 100.35 is: 137.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    126.27 : 173.50 = 100.35 : x
  2. Step 2: Convert to fraction form
    126.27/173.50 = 100.35/x
  3. Step 3: Cross multiply
    126.27x = 173.50 × 100.35
  4. Step 4: Simplify right side
    126.27x = 17,410.47
  5. Step 5: Solve for x
    x = 17,410.47/126.27
  6. Step 6: Final answer
    x = 137.88

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.