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Finding the Fourth Proportional to 85.03, 126.74 and 82.46

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Solution

The fourth proportional to 85.03, 126.74 and 82.46 is: 122.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    85.03 : 126.74 = 82.46 : x
  2. Step 2: Convert to fraction form
    85.03/126.74 = 82.46/x
  3. Step 3: Cross multiply
    85.03x = 126.74 × 82.46
  4. Step 4: Simplify right side
    85.03x = 10,450.88
  5. Step 5: Solve for x
    x = 10,450.88/85.03
  6. Step 6: Final answer
    x = 122.91

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.