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Finding the Fourth Proportional to 25.86, 38.81 and 10.64

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Solution

The fourth proportional to 25.86, 38.81 and 10.64 is: 15.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    25.86 : 38.81 = 10.64 : x
  2. Step 2: Convert to fraction form
    25.86/38.81 = 10.64/x
  3. Step 3: Cross multiply
    25.86x = 38.81 × 10.64
  4. Step 4: Simplify right side
    25.86x = 412.94
  5. Step 5: Solve for x
    x = 412.94/25.86
  6. Step 6: Final answer
    x = 15.97

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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.