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Finding the Fourth Proportional to 126.86, 174.63 and 89.96

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Solution

The fourth proportional to 126.86, 174.63 and 89.96 is: 123.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    126.86 : 174.63 = 89.96 : x
  2. Step 2: Convert to fraction form
    126.86/174.63 = 89.96/x
  3. Step 3: Cross multiply
    126.86x = 174.63 × 89.96
  4. Step 4: Simplify right side
    126.86x = 15,708.84
  5. Step 5: Solve for x
    x = 15,708.84/126.86
  6. Step 6: Final answer
    x = 123.83

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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.