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Finding the Fourth Proportional to 38.46, 52.97 and 34.07

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Solution

The fourth proportional to 38.46, 52.97 and 34.07 is: 46.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    38.46 : 52.97 = 34.07 : x
  2. Step 2: Convert to fraction form
    38.46/52.97 = 34.07/x
  3. Step 3: Cross multiply
    38.46x = 52.97 × 34.07
  4. Step 4: Simplify right side
    38.46x = 1,804.25
  5. Step 5: Solve for x
    x = 1,804.25/38.46
  6. Step 6: Final answer
    x = 46.91

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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.