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Finding the Fourth Proportional to 82.23, 113.44 and 51.11

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Solution

The fourth proportional to 82.23, 113.44 and 51.11 is: 70.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    82.23 : 113.44 = 51.11 : x
  2. Step 2: Convert to fraction form
    82.23/113.44 = 51.11/x
  3. Step 3: Cross multiply
    82.23x = 113.44 × 51.11
  4. Step 4: Simplify right side
    82.23x = 5,797.92
  5. Step 5: Solve for x
    x = 5,797.92/82.23
  6. Step 6: Final answer
    x = 70.51

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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.