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Finding the Fourth Proportional to 21.45, 32.12 and 15

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Solution

The fourth proportional to 21.45, 32.12 and 15 is: 22.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    21.45 : 32.12 = 15 : x
  2. Step 2: Convert to fraction form
    21.45/32.12 = 15/x
  3. Step 3: Cross multiply
    21.45x = 32.12 × 15
  4. Step 4: Simplify right side
    21.45x = 481.73
  5. Step 5: Solve for x
    x = 481.73/21.45
  6. Step 6: Final answer
    x = 22.46

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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.