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Finding the Fourth Proportional to 43.57, 65.69 and 40.73

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Solution

The fourth proportional to 43.57, 65.69 and 40.73 is: 61.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    43.57 : 65.69 = 40.73 : x
  2. Step 2: Convert to fraction form
    43.57/65.69 = 40.73/x
  3. Step 3: Cross multiply
    43.57x = 65.69 × 40.73
  4. Step 4: Simplify right side
    43.57x = 2,675.55
  5. Step 5: Solve for x
    x = 2,675.55/43.57
  6. Step 6: Final answer
    x = 61.41

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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.