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Finding the Fourth Proportional to 34.44, 51.54 and 31.80

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Solution

The fourth proportional to 34.44, 51.54 and 31.80 is: 47.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    34.44 : 51.54 = 31.80 : x
  2. Step 2: Convert to fraction form
    34.44/51.54 = 31.80/x
  3. Step 3: Cross multiply
    34.44x = 51.54 × 31.80
  4. Step 4: Simplify right side
    34.44x = 1,638.97
  5. Step 5: Solve for x
    x = 1,638.97/34.44
  6. Step 6: Final answer
    x = 47.59

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.