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Finding the Fourth Proportional to 43.24, 59.69 and 30.99

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Solution

The fourth proportional to 43.24, 59.69 and 30.99 is: 42.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    43.24 : 59.69 = 30.99 : x
  2. Step 2: Convert to fraction form
    43.24/59.69 = 30.99/x
  3. Step 3: Cross multiply
    43.24x = 59.69 × 30.99
  4. Step 4: Simplify right side
    43.24x = 1,849.79
  5. Step 5: Solve for x
    x = 1,849.79/43.24
  6. Step 6: Final answer
    x = 42.78

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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.