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Finding the Fourth Proportional to 82.18, 123.22 and 30.84

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Solution

The fourth proportional to 82.18, 123.22 and 30.84 is: 46.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    82.18 : 123.22 = 30.84 : x
  2. Step 2: Convert to fraction form
    82.18/123.22 = 30.84/x
  3. Step 3: Cross multiply
    82.18x = 123.22 × 30.84
  4. Step 4: Simplify right side
    82.18x = 3,800.06
  5. Step 5: Solve for x
    x = 3,800.06/82.18
  6. Step 6: Final answer
    x = 46.24

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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.