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Finding the Fourth Proportional to 85.70, 118.29 and 70.85

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Solution

The fourth proportional to 85.70, 118.29 and 70.85 is: 97.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    85.70 : 118.29 = 70.85 : x
  2. Step 2: Convert to fraction form
    85.70/118.29 = 70.85/x
  3. Step 3: Cross multiply
    85.70x = 118.29 × 70.85
  4. Step 4: Simplify right side
    85.70x = 8,380.26
  5. Step 5: Solve for x
    x = 8,380.26/85.70
  6. Step 6: Final answer
    x = 97.79

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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.