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Finding the Fourth Proportional to 113.22, 169.81 and 30.95

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Solution

The fourth proportional to 113.22, 169.81 and 30.95 is: 46.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    113.22 : 169.81 = 30.95 : x
  2. Step 2: Convert to fraction form
    113.22/169.81 = 30.95/x
  3. Step 3: Cross multiply
    113.22x = 169.81 × 30.95
  4. Step 4: Simplify right side
    113.22x = 5,254.77
  5. Step 5: Solve for x
    x = 5,254.77/113.22
  6. Step 6: Final answer
    x = 46.41

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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.