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Finding the Fourth Proportional to 34.33, 47.49 and 30.02

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Solution

The fourth proportional to 34.33, 47.49 and 30.02 is: 41.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    34.33 : 47.49 = 30.02 : x
  2. Step 2: Convert to fraction form
    34.33/47.49 = 30.02/x
  3. Step 3: Cross multiply
    34.33x = 47.49 × 30.02
  4. Step 4: Simplify right side
    34.33x = 1,425.65
  5. Step 5: Solve for x
    x = 1,425.65/34.33
  6. Step 6: Final answer
    x = 41.53

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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.