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Finding the Fourth Proportional to 43.12, 59.62 and 42.43

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Solution

The fourth proportional to 43.12, 59.62 and 42.43 is: 58.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    43.12 : 59.62 = 42.43 : x
  2. Step 2: Convert to fraction form
    43.12/59.62 = 42.43/x
  3. Step 3: Cross multiply
    43.12x = 59.62 × 42.43
  4. Step 4: Simplify right side
    43.12x = 2,529.68
  5. Step 5: Solve for x
    x = 2,529.68/43.12
  6. Step 6: Final answer
    x = 58.67

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.