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Finding the Fourth Proportional to 21.60, 32.33 and 12.56

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Solution

The fourth proportional to 21.60, 32.33 and 12.56 is: 18.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    21.60 : 32.33 = 12.56 : x
  2. Step 2: Convert to fraction form
    21.60/32.33 = 12.56/x
  3. Step 3: Cross multiply
    21.60x = 32.33 × 12.56
  4. Step 4: Simplify right side
    21.60x = 405.93
  5. Step 5: Solve for x
    x = 405.93/21.60
  6. Step 6: Final answer
    x = 18.79

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