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Finding the Fourth Proportional to 128.70, 193.41 and 109.62

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Solution

The fourth proportional to 128.70, 193.41 and 109.62 is: 164.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    128.70 : 193.41 = 109.62 : x
  2. Step 2: Convert to fraction form
    128.70/193.41 = 109.62/x
  3. Step 3: Cross multiply
    128.70x = 193.41 × 109.62
  4. Step 4: Simplify right side
    128.70x = 21,201.60
  5. Step 5: Solve for x
    x = 21,201.60/128.70
  6. Step 6: Final answer
    x = 164.74

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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.