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Finding the Fourth Proportional to 126.54, 173.96 and 125.76

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Solution

The fourth proportional to 126.54, 173.96 and 125.76 is: 172.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    126.54 : 173.96 = 125.76 : x
  2. Step 2: Convert to fraction form
    126.54/173.96 = 125.76/x
  3. Step 3: Cross multiply
    126.54x = 173.96 × 125.76
  4. Step 4: Simplify right side
    126.54x = 21,877.21
  5. Step 5: Solve for x
    x = 21,877.21/126.54
  6. Step 6: Final answer
    x = 172.89

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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.