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Finding the Fourth Proportional to 38.82, 53.46 and 34.46

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Solution

The fourth proportional to 38.82, 53.46 and 34.46 is: 47.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    38.82 : 53.46 = 34.46 : x
  2. Step 2: Convert to fraction form
    38.82/53.46 = 34.46/x
  3. Step 3: Cross multiply
    38.82x = 53.46 × 34.46
  4. Step 4: Simplify right side
    38.82x = 1,842.23
  5. Step 5: Solve for x
    x = 1,842.23/38.82
  6. Step 6: Final answer
    x = 47.46

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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.