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Finding the Fourth Proportional to 81.88, 122.75 and 30.51

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Solution

The fourth proportional to 81.88, 122.75 and 30.51 is: 45.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    81.88 : 122.75 = 30.51 : x
  2. Step 2: Convert to fraction form
    81.88/122.75 = 30.51/x
  3. Step 3: Cross multiply
    81.88x = 122.75 × 30.51
  4. Step 4: Simplify right side
    81.88x = 3,745.10
  5. Step 5: Solve for x
    x = 3,745.10/81.88
  6. Step 6: Final answer
    x = 45.74

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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.