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Finding the Fourth Proportional to 85.04, 126.74 and 84.33

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Solution

The fourth proportional to 85.04, 126.74 and 84.33 is: 125.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    85.04 : 126.74 = 84.33 : x
  2. Step 2: Convert to fraction form
    85.04/126.74 = 84.33/x
  3. Step 3: Cross multiply
    85.04x = 126.74 × 84.33
  4. Step 4: Simplify right side
    85.04x = 10,687.98
  5. Step 5: Solve for x
    x = 10,687.98/85.04
  6. Step 6: Final answer
    x = 125.68

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Why These Related Problems?

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