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Finding the Fourth Proportional to 126.90, 173.95 and 123.80

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Solution

The fourth proportional to 126.90, 173.95 and 123.80 is: 169.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    126.90 : 173.95 = 123.80 : x
  2. Step 2: Convert to fraction form
    126.90/173.95 = 123.80/x
  3. Step 3: Cross multiply
    126.90x = 173.95 × 123.80
  4. Step 4: Simplify right side
    126.90x = 21,533.83
  5. Step 5: Solve for x
    x = 21,533.83/126.90
  6. Step 6: Final answer
    x = 169.69

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.