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Finding the Fourth Proportional to 85.08, 127 and 76.96

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Solution

The fourth proportional to 85.08, 127 and 76.96 is: 114.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    85.08 : 127 = 76.96 : x
  2. Step 2: Convert to fraction form
    85.08/127 = 76.96/x
  3. Step 3: Cross multiply
    85.08x = 127 × 76.96
  4. Step 4: Simplify right side
    85.08x = 9,773.92
  5. Step 5: Solve for x
    x = 9,773.92/85.08
  6. Step 6: Final answer
    x = 114.88

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.