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Finding the Fourth Proportional to 42.09, 58 and 31.74

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Solution

The fourth proportional to 42.09, 58 and 31.74 is: 43.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    42.09 : 58 = 31.74 : x
  2. Step 2: Convert to fraction form
    42.09/58 = 31.74/x
  3. Step 3: Cross multiply
    42.09x = 58 × 31.74
  4. Step 4: Simplify right side
    42.09x = 1,840.92
  5. Step 5: Solve for x
    x = 1,840.92/42.09
  6. Step 6: Final answer
    x = 43.74

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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.