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Finding the Fourth Proportional to 85.82, 128.57 and 69.89

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Solution

The fourth proportional to 85.82, 128.57 and 69.89 is: 104.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    85.82 : 128.57 = 69.89 : x
  2. Step 2: Convert to fraction form
    85.82/128.57 = 69.89/x
  3. Step 3: Cross multiply
    85.82x = 128.57 × 69.89
  4. Step 4: Simplify right side
    85.82x = 8,984.77
  5. Step 5: Solve for x
    x = 8,984.77/85.82
  6. Step 6: Final answer
    x = 104.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.