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Finding the Fourth Proportional to 35.44, 49.01 and 31.79

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Solution

The fourth proportional to 35.44, 49.01 and 31.79 is: 43.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    35.44 : 49.01 = 31.79 : x
  2. Step 2: Convert to fraction form
    35.44/49.01 = 31.79/x
  3. Step 3: Cross multiply
    35.44x = 49.01 × 31.79
  4. Step 4: Simplify right side
    35.44x = 1,557.99
  5. Step 5: Solve for x
    x = 1,557.99/35.44
  6. Step 6: Final answer
    x = 43.96

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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.