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Finding the Fourth Proportional to 35.58, 48.96 and 31.94

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Solution

The fourth proportional to 35.58, 48.96 and 31.94 is: 43.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    35.58 : 48.96 = 31.94 : x
  2. Step 2: Convert to fraction form
    35.58/48.96 = 31.94/x
  3. Step 3: Cross multiply
    35.58x = 48.96 × 31.94
  4. Step 4: Simplify right side
    35.58x = 1,563.54
  5. Step 5: Solve for x
    x = 1,563.54/35.58
  6. Step 6: Final answer
    x = 43.94

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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.