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Finding the Fourth Proportional to 82.33, 123.50 and 30.97

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Solution

The fourth proportional to 82.33, 123.50 and 30.97 is: 46.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    82.33 : 123.50 = 30.97 : x
  2. Step 2: Convert to fraction form
    82.33/123.50 = 30.97/x
  3. Step 3: Cross multiply
    82.33x = 123.50 × 30.97
  4. Step 4: Simplify right side
    82.33x = 3,824.80
  5. Step 5: Solve for x
    x = 3,824.80/82.33
  6. Step 6: Final answer
    x = 46.46

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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.