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Finding the Fourth Proportional to 43.21, 65.13 and 40.43

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Solution

The fourth proportional to 43.21, 65.13 and 40.43 is: 60.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    43.21 : 65.13 = 40.43 : x
  2. Step 2: Convert to fraction form
    43.21/65.13 = 40.43/x
  3. Step 3: Cross multiply
    43.21x = 65.13 × 40.43
  4. Step 4: Simplify right side
    43.21x = 2,632.88
  5. Step 5: Solve for x
    x = 2,632.88/43.21
  6. Step 6: Final answer
    x = 60.93

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.