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Finding the Fourth Proportional to 25.96, 35.83 and 16.25

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Solution

The fourth proportional to 25.96, 35.83 and 16.25 is: 22.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    25.96 : 35.83 = 16.25 : x
  2. Step 2: Convert to fraction form
    25.96/35.83 = 16.25/x
  3. Step 3: Cross multiply
    25.96x = 35.83 × 16.25
  4. Step 4: Simplify right side
    25.96x = 582.16
  5. Step 5: Solve for x
    x = 582.16/25.96
  6. Step 6: Final answer
    x = 22.43

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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.