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Finding the Fourth Proportional to 38.80, 53.46 and 30.46

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Solution

The fourth proportional to 38.80, 53.46 and 30.46 is: 41.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    38.80 : 53.46 = 30.46 : x
  2. Step 2: Convert to fraction form
    38.80/53.46 = 30.46/x
  3. Step 3: Cross multiply
    38.80x = 53.46 × 30.46
  4. Step 4: Simplify right side
    38.80x = 1,628.39
  5. Step 5: Solve for x
    x = 1,628.39/38.80
  6. Step 6: Final answer
    x = 41.97

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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.