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Finding the Fourth Proportional to 126.69, 174.81 and 71.43

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Solution

The fourth proportional to 126.69, 174.81 and 71.43 is: 98.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    126.69 : 174.81 = 71.43 : x
  2. Step 2: Convert to fraction form
    126.69/174.81 = 71.43/x
  3. Step 3: Cross multiply
    126.69x = 174.81 × 71.43
  4. Step 4: Simplify right side
    126.69x = 12,486.68
  5. Step 5: Solve for x
    x = 12,486.68/126.69
  6. Step 6: Final answer
    x = 98.56

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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.