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Finding the Fourth Proportional to 10.38, 15.57 and 3.96

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Solution

The fourth proportional to 10.38, 15.57 and 3.96 is: 5.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    10.38 : 15.57 = 3.96 : x
  2. Step 2: Convert to fraction form
    10.38/15.57 = 3.96/x
  3. Step 3: Cross multiply
    10.38x = 15.57 × 3.96
  4. Step 4: Simplify right side
    10.38x = 61.68
  5. Step 5: Solve for x
    x = 61.68/10.38
  6. Step 6: Final answer
    x = 5.94

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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.