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Finding the Fourth Proportional to 85.23, 127.82 and 31.11

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Solution

The fourth proportional to 85.23, 127.82 and 31.11 is: 46.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    85.23 : 127.82 = 31.11 : x
  2. Step 2: Convert to fraction form
    85.23/127.82 = 31.11/x
  3. Step 3: Cross multiply
    85.23x = 127.82 × 31.11
  4. Step 4: Simplify right side
    85.23x = 3,976.48
  5. Step 5: Solve for x
    x = 3,976.48/85.23
  6. Step 6: Final answer
    x = 46.66

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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.