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Finding the Fourth Proportional to 82.33, 123.27 and 70.75

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Solution

The fourth proportional to 82.33, 123.27 and 70.75 is: 105.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    82.33 : 123.27 = 70.75 : x
  2. Step 2: Convert to fraction form
    82.33/123.27 = 70.75/x
  3. Step 3: Cross multiply
    82.33x = 123.27 × 70.75
  4. Step 4: Simplify right side
    82.33x = 8,721.35
  5. Step 5: Solve for x
    x = 8,721.35/82.33
  6. Step 6: Final answer
    x = 105.93

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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.