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Finding the Fourth Proportional to 126.87, 175.23 and 122.60

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Solution

The fourth proportional to 126.87, 175.23 and 122.60 is: 169.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    126.87 : 175.23 = 122.60 : x
  2. Step 2: Convert to fraction form
    126.87/175.23 = 122.60/x
  3. Step 3: Cross multiply
    126.87x = 175.23 × 122.60
  4. Step 4: Simplify right side
    126.87x = 21,482.32
  5. Step 5: Solve for x
    x = 21,482.32/126.87
  6. Step 6: Final answer
    x = 169.33

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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.