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Finding the Fourth Proportional to 128, 192.46 and 117.97

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Solution

The fourth proportional to 128, 192.46 and 117.97 is: 177.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    128 : 192.46 = 117.97 : x
  2. Step 2: Convert to fraction form
    128/192.46 = 117.97/x
  3. Step 3: Cross multiply
    128x = 192.46 × 117.97
  4. Step 4: Simplify right side
    128x = 22,704.51
  5. Step 5: Solve for x
    x = 22,704.51/128
  6. Step 6: Final answer
    x = 177.38

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.