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Finding the Fourth Proportional to 106.22, 160.26 and 103.05

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Solution

The fourth proportional to 106.22, 160.26 and 103.05 is: 155.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    106.22 : 160.26 = 103.05 : x
  2. Step 2: Convert to fraction form
    106.22/160.26 = 103.05/x
  3. Step 3: Cross multiply
    106.22x = 160.26 × 103.05
  4. Step 4: Simplify right side
    106.22x = 16,514.41
  5. Step 5: Solve for x
    x = 16,514.41/106.22
  6. Step 6: Final answer
    x = 155.47

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.