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Finding the Fourth Proportional to 126.40, 173.72 and 111.76

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Solution

The fourth proportional to 126.40, 173.72 and 111.76 is: 153.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    126.40 : 173.72 = 111.76 : x
  2. Step 2: Convert to fraction form
    126.40/173.72 = 111.76/x
  3. Step 3: Cross multiply
    126.40x = 173.72 × 111.76
  4. Step 4: Simplify right side
    126.40x = 19,414.95
  5. Step 5: Solve for x
    x = 19,414.95/126.40
  6. Step 6: Final answer
    x = 153.60

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