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Finding the Fourth Proportional to 25.33, 34.89 and 22.75

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Solution

The fourth proportional to 25.33, 34.89 and 22.75 is: 31.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    25.33 : 34.89 = 22.75 : x
  2. Step 2: Convert to fraction form
    25.33/34.89 = 22.75/x
  3. Step 3: Cross multiply
    25.33x = 34.89 × 22.75
  4. Step 4: Simplify right side
    25.33x = 793.83
  5. Step 5: Solve for x
    x = 793.83/25.33
  6. Step 6: Final answer
    x = 31.34

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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.