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Finding the Fourth Proportional to 21.72, 30.12 and 21.60

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Solution

The fourth proportional to 21.72, 30.12 and 21.60 is: 29.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    21.72 : 30.12 = 21.60 : x
  2. Step 2: Convert to fraction form
    21.72/30.12 = 21.60/x
  3. Step 3: Cross multiply
    21.72x = 30.12 × 21.60
  4. Step 4: Simplify right side
    21.72x = 650.59
  5. Step 5: Solve for x
    x = 650.59/21.72
  6. Step 6: Final answer
    x = 29.95

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.