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Finding the Fourth Proportional to 43.09, 59.41 and 30.13

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Solution

The fourth proportional to 43.09, 59.41 and 30.13 is: 41.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    43.09 : 59.41 = 30.13 : x
  2. Step 2: Convert to fraction form
    43.09/59.41 = 30.13/x
  3. Step 3: Cross multiply
    43.09x = 59.41 × 30.13
  4. Step 4: Simplify right side
    43.09x = 1,790.02
  5. Step 5: Solve for x
    x = 1,790.02/43.09
  6. Step 6: Final answer
    x = 41.54

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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.