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Finding the Fourth Proportional to 82.49, 123.12 and 82.28

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Solution

The fourth proportional to 82.49, 123.12 and 82.28 is: 122.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    82.49 : 123.12 = 82.28 : x
  2. Step 2: Convert to fraction form
    82.49/123.12 = 82.28/x
  3. Step 3: Cross multiply
    82.49x = 123.12 × 82.28
  4. Step 4: Simplify right side
    82.49x = 10,129.70
  5. Step 5: Solve for x
    x = 10,129.70/82.49
  6. Step 6: Final answer
    x = 122.81

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.