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Finding the Fourth Proportional to 42.05, 57.94 and 31.12

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Solution

The fourth proportional to 42.05, 57.94 and 31.12 is: 42.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    42.05 : 57.94 = 31.12 : x
  2. Step 2: Convert to fraction form
    42.05/57.94 = 31.12/x
  3. Step 3: Cross multiply
    42.05x = 57.94 × 31.12
  4. Step 4: Simplify right side
    42.05x = 1,803.09
  5. Step 5: Solve for x
    x = 1,803.09/42.05
  6. Step 6: Final answer
    x = 42.88

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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.