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Finding the Fourth Proportional to 85.75, 128.57 and 84.13

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Solution

The fourth proportional to 85.75, 128.57 and 84.13 is: 126.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    85.75 : 128.57 = 84.13 : x
  2. Step 2: Convert to fraction form
    85.75/128.57 = 84.13/x
  3. Step 3: Cross multiply
    85.75x = 128.57 × 84.13
  4. Step 4: Simplify right side
    85.75x = 10,816.59
  5. Step 5: Solve for x
    x = 10,816.59/85.75
  6. Step 6: Final answer
    x = 126.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.