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Finding the Fourth Proportional to 8.23, 12.34 and 3.15

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Solution

The fourth proportional to 8.23, 12.34 and 3.15 is: 4.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    8.23 : 12.34 = 3.15 : x
  2. Step 2: Convert to fraction form
    8.23/12.34 = 3.15/x
  3. Step 3: Cross multiply
    8.23x = 12.34 × 3.15
  4. Step 4: Simplify right side
    8.23x = 38.86
  5. Step 5: Solve for x
    x = 38.86/8.23
  6. Step 6: Final answer
    x = 4.72

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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.