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Finding the Fourth Proportional to 9.24, 13.85 and 5.23

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Solution

The fourth proportional to 9.24, 13.85 and 5.23 is: 7.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    9.24 : 13.85 = 5.23 : x
  2. Step 2: Convert to fraction form
    9.24/13.85 = 5.23/x
  3. Step 3: Cross multiply
    9.24x = 13.85 × 5.23
  4. Step 4: Simplify right side
    9.24x = 72.44
  5. Step 5: Solve for x
    x = 72.44/9.24
  6. Step 6: Final answer
    x = 7.84

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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.