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Finding the Fourth Proportional to 30.63, 42.26 and 21.44

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Solution

The fourth proportional to 30.63, 42.26 and 21.44 is: 29.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    30.63 : 42.26 = 21.44 : x
  2. Step 2: Convert to fraction form
    30.63/42.26 = 21.44/x
  3. Step 3: Cross multiply
    30.63x = 42.26 × 21.44
  4. Step 4: Simplify right side
    30.63x = 905.74
  5. Step 5: Solve for x
    x = 905.74/30.63
  6. Step 6: Final answer
    x = 29.57

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.