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Finding the Fourth Proportional to 85.04, 117.83 and 83.15

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Solution

The fourth proportional to 85.04, 117.83 and 83.15 is: 115.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    85.04 : 117.83 = 83.15 : x
  2. Step 2: Convert to fraction form
    85.04/117.83 = 83.15/x
  3. Step 3: Cross multiply
    85.04x = 117.83 × 83.15
  4. Step 4: Simplify right side
    85.04x = 9,797.56
  5. Step 5: Solve for x
    x = 9,797.56/85.04
  6. Step 6: Final answer
    x = 115.21

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.