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Finding the Fourth Proportional to 21.79, 30.00 and 21.21

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Solution

The fourth proportional to 21.79, 30.00 and 21.21 is: 29.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    21.79 : 30.00 = 21.21 : x
  2. Step 2: Convert to fraction form
    21.79/30.00 = 21.21/x
  3. Step 3: Cross multiply
    21.79x = 30.00 × 21.21
  4. Step 4: Simplify right side
    21.79x = 636.26
  5. Step 5: Solve for x
    x = 636.26/21.79
  6. Step 6: Final answer
    x = 29.21

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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.