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Finding the Fourth Proportional to 126.75, 174.74 and 109.24

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Solution

The fourth proportional to 126.75, 174.74 and 109.24 is: 150.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    126.75 : 174.74 = 109.24 : x
  2. Step 2: Convert to fraction form
    126.75/174.74 = 109.24/x
  3. Step 3: Cross multiply
    126.75x = 174.74 × 109.24
  4. Step 4: Simplify right side
    126.75x = 19,088.87
  5. Step 5: Solve for x
    x = 19,088.87/126.75
  6. Step 6: Final answer
    x = 150.61

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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.