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Finding the Fourth Proportional to 128.96, 193.08 and 109.68

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Solution

The fourth proportional to 128.96, 193.08 and 109.68 is: 164.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    128.96 : 193.08 = 109.68 : x
  2. Step 2: Convert to fraction form
    128.96/193.08 = 109.68/x
  3. Step 3: Cross multiply
    128.96x = 193.08 × 109.68
  4. Step 4: Simplify right side
    128.96x = 21,177.01
  5. Step 5: Solve for x
    x = 21,177.01/128.96
  6. Step 6: Final answer
    x = 164.21

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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.