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Finding the Fourth Proportional to 82.26, 123.33 and 76.19

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Solution

The fourth proportional to 82.26, 123.33 and 76.19 is: 114.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    82.26 : 123.33 = 76.19 : x
  2. Step 2: Convert to fraction form
    82.26/123.33 = 76.19/x
  3. Step 3: Cross multiply
    82.26x = 123.33 × 76.19
  4. Step 4: Simplify right side
    82.26x = 9,395.90
  5. Step 5: Solve for x
    x = 9,395.90/82.26
  6. Step 6: Final answer
    x = 114.22

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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.