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Finding the Fourth Proportional to 126.86, 175.03 and 74.39

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Solution

The fourth proportional to 126.86, 175.03 and 74.39 is: 102.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    126.86 : 175.03 = 74.39 : x
  2. Step 2: Convert to fraction form
    126.86/175.03 = 74.39/x
  3. Step 3: Cross multiply
    126.86x = 175.03 × 74.39
  4. Step 4: Simplify right side
    126.86x = 13,019.42
  5. Step 5: Solve for x
    x = 13,019.42/126.86
  6. Step 6: Final answer
    x = 102.63

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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.