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Finding the Fourth Proportional to 25.38, 38.00 and 21.60

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Solution

The fourth proportional to 25.38, 38.00 and 21.60 is: 32.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    25.38 : 38.00 = 21.60 : x
  2. Step 2: Convert to fraction form
    25.38/38.00 = 21.60/x
  3. Step 3: Cross multiply
    25.38x = 38.00 × 21.60
  4. Step 4: Simplify right side
    25.38x = 820.85
  5. Step 5: Solve for x
    x = 820.85/25.38
  6. Step 6: Final answer
    x = 32.34

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.