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Finding the Fourth Proportional to 82.23, 113.49 and 51.15

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Solution

The fourth proportional to 82.23, 113.49 and 51.15 is: 70.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    82.23 : 113.49 = 51.15 : x
  2. Step 2: Convert to fraction form
    82.23/113.49 = 51.15/x
  3. Step 3: Cross multiply
    82.23x = 113.49 × 51.15
  4. Step 4: Simplify right side
    82.23x = 5,805.01
  5. Step 5: Solve for x
    x = 5,805.01/82.23
  6. Step 6: Final answer
    x = 70.59

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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.