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Finding the Fourth Proportional to 25.09, 34.49 and 21.43

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Solution

The fourth proportional to 25.09, 34.49 and 21.43 is: 29.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    25.09 : 34.49 = 21.43 : x
  2. Step 2: Convert to fraction form
    25.09/34.49 = 21.43/x
  3. Step 3: Cross multiply
    25.09x = 34.49 × 21.43
  4. Step 4: Simplify right side
    25.09x = 739.12
  5. Step 5: Solve for x
    x = 739.12/25.09
  6. Step 6: Final answer
    x = 29.46

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.