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Finding the Fourth Proportional to 126.86, 174.87 and 90

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Solution

The fourth proportional to 126.86, 174.87 and 90 is: 124.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    126.86 : 174.87 = 90 : x
  2. Step 2: Convert to fraction form
    126.86/174.87 = 90/x
  3. Step 3: Cross multiply
    126.86x = 174.87 × 90
  4. Step 4: Simplify right side
    126.86x = 15,738.30
  5. Step 5: Solve for x
    x = 15,738.30/126.86
  6. Step 6: Final answer
    x = 124.07

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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.