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Finding the Fourth Proportional to 106.22, 159.09 and 75.69

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Solution

The fourth proportional to 106.22, 159.09 and 75.69 is: 113.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    106.22 : 159.09 = 75.69 : x
  2. Step 2: Convert to fraction form
    106.22/159.09 = 75.69/x
  3. Step 3: Cross multiply
    106.22x = 159.09 × 75.69
  4. Step 4: Simplify right side
    106.22x = 12,041.52
  5. Step 5: Solve for x
    x = 12,041.52/106.22
  6. Step 6: Final answer
    x = 113.36

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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.