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Finding the Fourth Proportional to 85.78, 118.23 and 69.43

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Solution

The fourth proportional to 85.78, 118.23 and 69.43 is: 95.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    85.78 : 118.23 = 69.43 : x
  2. Step 2: Convert to fraction form
    85.78/118.23 = 69.43/x
  3. Step 3: Cross multiply
    85.78x = 118.23 × 69.43
  4. Step 4: Simplify right side
    85.78x = 8,208.71
  5. Step 5: Solve for x
    x = 8,208.71/85.78
  6. Step 6: Final answer
    x = 95.69

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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.