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Finding the Fourth Proportional to 5.94, 8.23 and 5.85

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Solution

The fourth proportional to 5.94, 8.23 and 5.85 is: 8.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    5.94 : 8.23 = 5.85 : x
  2. Step 2: Convert to fraction form
    5.94/8.23 = 5.85/x
  3. Step 3: Cross multiply
    5.94x = 8.23 × 5.85
  4. Step 4: Simplify right side
    5.94x = 48.15
  5. Step 5: Solve for x
    x = 48.15/5.94
  6. Step 6: Final answer
    x = 8.11

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.