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Finding the Fourth Proportional to 113.20, 155.30 and 106.22

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Solution

The fourth proportional to 113.20, 155.30 and 106.22 is: 145.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    113.20 : 155.30 = 106.22 : x
  2. Step 2: Convert to fraction form
    113.20/155.30 = 106.22/x
  3. Step 3: Cross multiply
    113.20x = 155.30 × 106.22
  4. Step 4: Simplify right side
    113.20x = 16,494.66
  5. Step 5: Solve for x
    x = 16,494.66/113.20
  6. Step 6: Final answer
    x = 145.71

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.