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Finding the Fourth Proportional to 85.23, 128.52 and 83.61

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Solution

The fourth proportional to 85.23, 128.52 and 83.61 is: 126.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    85.23 : 128.52 = 83.61 : x
  2. Step 2: Convert to fraction form
    85.23/128.52 = 83.61/x
  3. Step 3: Cross multiply
    85.23x = 128.52 × 83.61
  4. Step 4: Simplify right side
    85.23x = 10,745.56
  5. Step 5: Solve for x
    x = 10,745.56/85.23
  6. Step 6: Final answer
    x = 126.08

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.