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Finding the Fourth Proportional to 8.23, 12.34 and 4.86

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Solution

The fourth proportional to 8.23, 12.34 and 4.86 is: 7.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    8.23 : 12.34 = 4.86 : x
  2. Step 2: Convert to fraction form
    8.23/12.34 = 4.86/x
  3. Step 3: Cross multiply
    8.23x = 12.34 × 4.86
  4. Step 4: Simplify right side
    8.23x = 60.03
  5. Step 5: Solve for x
    x = 60.03/8.23
  6. Step 6: Final answer
    x = 7.29

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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.