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Finding the Fourth Proportional to 126.11, 173.70 and 102.76

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Solution

The fourth proportional to 126.11, 173.70 and 102.76 is: 141.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    126.11 : 173.70 = 102.76 : x
  2. Step 2: Convert to fraction form
    126.11/173.70 = 102.76/x
  3. Step 3: Cross multiply
    126.11x = 173.70 × 102.76
  4. Step 4: Simplify right side
    126.11x = 17,848.98
  5. Step 5: Solve for x
    x = 17,848.98/126.11
  6. Step 6: Final answer
    x = 141.53

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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.