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Finding the Fourth Proportional to 34.75, 48.01 and 27.53

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Solution

The fourth proportional to 34.75, 48.01 and 27.53 is: 38.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    34.75 : 48.01 = 27.53 : x
  2. Step 2: Convert to fraction form
    34.75/48.01 = 27.53/x
  3. Step 3: Cross multiply
    34.75x = 48.01 × 27.53
  4. Step 4: Simplify right side
    34.75x = 1,321.48
  5. Step 5: Solve for x
    x = 1,321.48/34.75
  6. Step 6: Final answer
    x = 38.03

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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.