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Finding the Fourth Proportional to 82.09, 123.09 and 77.59

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Solution

The fourth proportional to 82.09, 123.09 and 77.59 is: 116.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    82.09 : 123.09 = 77.59 : x
  2. Step 2: Convert to fraction form
    82.09/123.09 = 77.59/x
  3. Step 3: Cross multiply
    82.09x = 123.09 × 77.59
  4. Step 4: Simplify right side
    82.09x = 9,550.55
  5. Step 5: Solve for x
    x = 9,550.55/82.09
  6. Step 6: Final answer
    x = 116.34

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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.