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Finding the Fourth Proportional to 126.02, 173.97 and 90.66

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Solution

The fourth proportional to 126.02, 173.97 and 90.66 is: 125.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    126.02 : 173.97 = 90.66 : x
  2. Step 2: Convert to fraction form
    126.02/173.97 = 90.66/x
  3. Step 3: Cross multiply
    126.02x = 173.97 × 90.66
  4. Step 4: Simplify right side
    126.02x = 15,772.12
  5. Step 5: Solve for x
    x = 15,772.12/126.02
  6. Step 6: Final answer
    x = 125.16

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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.