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Finding the Fourth Proportional to 25.54, 35.20 and 22.56

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Solution

The fourth proportional to 25.54, 35.20 and 22.56 is: 31.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    25.54 : 35.20 = 22.56 : x
  2. Step 2: Convert to fraction form
    25.54/35.20 = 22.56/x
  3. Step 3: Cross multiply
    25.54x = 35.20 × 22.56
  4. Step 4: Simplify right side
    25.54x = 794.11
  5. Step 5: Solve for x
    x = 794.11/25.54
  6. Step 6: Final answer
    x = 31.09

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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.