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Finding the Fourth Proportional to 81.54, 122.33 and 30.19

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Solution

The fourth proportional to 81.54, 122.33 and 30.19 is: 45.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    81.54 : 122.33 = 30.19 : x
  2. Step 2: Convert to fraction form
    81.54/122.33 = 30.19/x
  3. Step 3: Cross multiply
    81.54x = 122.33 × 30.19
  4. Step 4: Simplify right side
    81.54x = 3,693.14
  5. Step 5: Solve for x
    x = 3,693.14/81.54
  6. Step 6: Final answer
    x = 45.29

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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.