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Finding the Fourth Proportional to 49.24, 67.92 and 30.78

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Solution

The fourth proportional to 49.24, 67.92 and 30.78 is: 42.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    49.24 : 67.92 = 30.78 : x
  2. Step 2: Convert to fraction form
    49.24/67.92 = 30.78/x
  3. Step 3: Cross multiply
    49.24x = 67.92 × 30.78
  4. Step 4: Simplify right side
    49.24x = 2,090.82
  5. Step 5: Solve for x
    x = 2,090.82/49.24
  6. Step 6: Final answer
    x = 42.46

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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.