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Finding the Fourth Proportional to 5.23, 7.84 and 2.23

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Solution

The fourth proportional to 5.23, 7.84 and 2.23 is: 3.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    5.23 : 7.84 = 2.23 : x
  2. Step 2: Convert to fraction form
    5.23/7.84 = 2.23/x
  3. Step 3: Cross multiply
    5.23x = 7.84 × 2.23
  4. Step 4: Simplify right side
    5.23x = 17.44
  5. Step 5: Solve for x
    x = 17.44/5.23
  6. Step 6: Final answer
    x = 3.34

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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.