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Finding the Fourth Proportional to 7.24, 9.96 and 5.39

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Solution

The fourth proportional to 7.24, 9.96 and 5.39 is: 7.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    7.24 : 9.96 = 5.39 : x
  2. Step 2: Convert to fraction form
    7.24/9.96 = 5.39/x
  3. Step 3: Cross multiply
    7.24x = 9.96 × 5.39
  4. Step 4: Simplify right side
    7.24x = 53.70
  5. Step 5: Solve for x
    x = 53.70/7.24
  6. Step 6: Final answer
    x = 7.42

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.