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Finding the Fourth Proportional to 43.05, 59.49 and 30.81

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Solution

The fourth proportional to 43.05, 59.49 and 30.81 is: 42.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    43.05 : 59.49 = 30.81 : x
  2. Step 2: Convert to fraction form
    43.05/59.49 = 30.81/x
  3. Step 3: Cross multiply
    43.05x = 59.49 × 30.81
  4. Step 4: Simplify right side
    43.05x = 1,832.89
  5. Step 5: Solve for x
    x = 1,832.89/43.05
  6. Step 6: Final answer
    x = 42.58

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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.