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Finding the Fourth Proportional to 39.45, 59.12 and 21.43

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Solution

The fourth proportional to 39.45, 59.12 and 21.43 is: 32.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    39.45 : 59.12 = 21.43 : x
  2. Step 2: Convert to fraction form
    39.45/59.12 = 21.43/x
  3. Step 3: Cross multiply
    39.45x = 59.12 × 21.43
  4. Step 4: Simplify right side
    39.45x = 1,266.94
  5. Step 5: Solve for x
    x = 1,266.94/39.45
  6. Step 6: Final answer
    x = 32.12

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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.