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Finding the Fourth Proportional to 85.69, 118.37 and 75.37

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Solution

The fourth proportional to 85.69, 118.37 and 75.37 is: 104.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    85.69 : 118.37 = 75.37 : x
  2. Step 2: Convert to fraction form
    85.69/118.37 = 75.37/x
  3. Step 3: Cross multiply
    85.69x = 118.37 × 75.37
  4. Step 4: Simplify right side
    85.69x = 8,921.55
  5. Step 5: Solve for x
    x = 8,921.55/85.69
  6. Step 6: Final answer
    x = 104.11

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.