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Finding the Fourth Proportional to 82.13, 123.26 and 34.07

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Solution

The fourth proportional to 82.13, 123.26 and 34.07 is: 51.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    82.13 : 123.26 = 34.07 : x
  2. Step 2: Convert to fraction form
    82.13/123.26 = 34.07/x
  3. Step 3: Cross multiply
    82.13x = 123.26 × 34.07
  4. Step 4: Simplify right side
    82.13x = 4,198.68
  5. Step 5: Solve for x
    x = 4,198.68/82.13
  6. Step 6: Final answer
    x = 51.13

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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.