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Finding the Fourth Proportional to 85.03, 127 and 76.89

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Solution

The fourth proportional to 85.03, 127 and 76.89 is: 114.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    85.03 : 127 = 76.89 : x
  2. Step 2: Convert to fraction form
    85.03/127 = 76.89/x
  3. Step 3: Cross multiply
    85.03x = 127 × 76.89
  4. Step 4: Simplify right side
    85.03x = 9,765.03
  5. Step 5: Solve for x
    x = 9,765.03/85.03
  6. Step 6: Final answer
    x = 114.85

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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.