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Finding the Fourth Proportional to 43.11, 59.49 and 23.71

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Solution

The fourth proportional to 43.11, 59.49 and 23.71 is: 32.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    43.11 : 59.49 = 23.71 : x
  2. Step 2: Convert to fraction form
    43.11/59.49 = 23.71/x
  3. Step 3: Cross multiply
    43.11x = 59.49 × 23.71
  4. Step 4: Simplify right side
    43.11x = 1,410.21
  5. Step 5: Solve for x
    x = 1,410.21/43.11
  6. Step 6: Final answer
    x = 32.71

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Why These Related Problems?

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