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Finding the Fourth Proportional to 85.12, 117.48 and 75.96

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Solution

The fourth proportional to 85.12, 117.48 and 75.96 is: 104.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    85.12 : 117.48 = 75.96 : x
  2. Step 2: Convert to fraction form
    85.12/117.48 = 75.96/x
  3. Step 3: Cross multiply
    85.12x = 117.48 × 75.96
  4. Step 4: Simplify right side
    85.12x = 8,923.78
  5. Step 5: Solve for x
    x = 8,923.78/85.12
  6. Step 6: Final answer
    x = 104.84

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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.