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Finding the Fourth Proportional to 30.96, 42.80 and 22.82

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Solution

The fourth proportional to 30.96, 42.80 and 22.82 is: 31.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    30.96 : 42.80 = 22.82 : x
  2. Step 2: Convert to fraction form
    30.96/42.80 = 22.82/x
  3. Step 3: Cross multiply
    30.96x = 42.80 × 22.82
  4. Step 4: Simplify right side
    30.96x = 976.37
  5. Step 5: Solve for x
    x = 976.37/30.96
  6. Step 6: Final answer
    x = 31.54

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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.