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Finding the Fourth Proportional to 126.64, 172.41 and 126.24

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Solution

The fourth proportional to 126.64, 172.41 and 126.24 is: 171.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    126.64 : 172.41 = 126.24 : x
  2. Step 2: Convert to fraction form
    126.64/172.41 = 126.24/x
  3. Step 3: Cross multiply
    126.64x = 172.41 × 126.24
  4. Step 4: Simplify right side
    126.64x = 21,765.60
  5. Step 5: Solve for x
    x = 21,765.60/126.64
  6. Step 6: Final answer
    x = 171.88

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.