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Finding the Fourth Proportional to 128.88, 192.96 and 111.60

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Solution

The fourth proportional to 128.88, 192.96 and 111.60 is: 167.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    128.88 : 192.96 = 111.60 : x
  2. Step 2: Convert to fraction form
    128.88/192.96 = 111.60/x
  3. Step 3: Cross multiply
    128.88x = 192.96 × 111.60
  4. Step 4: Simplify right side
    128.88x = 21,534.34
  5. Step 5: Solve for x
    x = 21,534.34/128.88
  6. Step 6: Final answer
    x = 167.09

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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.