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Finding the Fourth Proportional to 85.37, 117.96 and 83.48

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Solution

The fourth proportional to 85.37, 117.96 and 83.48 is: 115.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    85.37 : 117.96 = 83.48 : x
  2. Step 2: Convert to fraction form
    85.37/117.96 = 83.48/x
  3. Step 3: Cross multiply
    85.37x = 117.96 × 83.48
  4. Step 4: Simplify right side
    85.37x = 9,847.30
  5. Step 5: Solve for x
    x = 9,847.30/85.37
  6. Step 6: Final answer
    x = 115.35

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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.