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Finding the Fourth Proportional to 34.44, 51.27 and 30.84

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Solution

The fourth proportional to 34.44, 51.27 and 30.84 is: 45.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    34.44 : 51.27 = 30.84 : x
  2. Step 2: Convert to fraction form
    34.44/51.27 = 30.84/x
  3. Step 3: Cross multiply
    34.44x = 51.27 × 30.84
  4. Step 4: Simplify right side
    34.44x = 1,581.17
  5. Step 5: Solve for x
    x = 1,581.17/34.44
  6. Step 6: Final answer
    x = 45.91

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.