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Finding the Fourth Proportional to 25.20, 37.62 and 23.22

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Solution

The fourth proportional to 25.20, 37.62 and 23.22 is: 34.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    25.20 : 37.62 = 23.22 : x
  2. Step 2: Convert to fraction form
    25.20/37.62 = 23.22/x
  3. Step 3: Cross multiply
    25.20x = 37.62 × 23.22
  4. Step 4: Simplify right side
    25.20x = 873.54
  5. Step 5: Solve for x
    x = 873.54/25.20
  6. Step 6: Final answer
    x = 34.66

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.