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Finding the Fourth Proportional to 25.22, 38.02 and 23.54

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Solution

The fourth proportional to 25.22, 38.02 and 23.54 is: 35.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    25.22 : 38.02 = 23.54 : x
  2. Step 2: Convert to fraction form
    25.22/38.02 = 23.54/x
  3. Step 3: Cross multiply
    25.22x = 38.02 × 23.54
  4. Step 4: Simplify right side
    25.22x = 894.99
  5. Step 5: Solve for x
    x = 894.99/25.22
  6. Step 6: Final answer
    x = 35.49

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.