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Finding the Fourth Proportional to 31.73, 43.84 and 30.02

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Solution

The fourth proportional to 31.73, 43.84 and 30.02 is: 41.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    31.73 : 43.84 = 30.02 : x
  2. Step 2: Convert to fraction form
    31.73/43.84 = 30.02/x
  3. Step 3: Cross multiply
    31.73x = 43.84 × 30.02
  4. Step 4: Simplify right side
    31.73x = 1,316.14
  5. Step 5: Solve for x
    x = 1,316.14/31.73
  6. Step 6: Final answer
    x = 41.48

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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.