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Finding the Fourth Proportional to 34.24, 51.11 and 31.00

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Solution

The fourth proportional to 34.24, 51.11 and 31.00 is: 46.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    34.24 : 51.11 = 31.00 : x
  2. Step 2: Convert to fraction form
    34.24/51.11 = 31.00/x
  3. Step 3: Cross multiply
    34.24x = 51.11 × 31.00
  4. Step 4: Simplify right side
    34.24x = 1,584.15
  5. Step 5: Solve for x
    x = 1,584.15/34.24
  6. Step 6: Final answer
    x = 46.27

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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.