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Finding the Fourth Proportional to 42.05, 57.89 and 31.67

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Solution

The fourth proportional to 42.05, 57.89 and 31.67 is: 43.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    42.05 : 57.89 = 31.67 : x
  2. Step 2: Convert to fraction form
    42.05/57.89 = 31.67/x
  3. Step 3: Cross multiply
    42.05x = 57.89 × 31.67
  4. Step 4: Simplify right side
    42.05x = 1,833.60
  5. Step 5: Solve for x
    x = 1,833.60/42.05
  6. Step 6: Final answer
    x = 43.60

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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.