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Finding the Fourth Proportional to 128.15, 192.22 and 46.97

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Solution

The fourth proportional to 128.15, 192.22 and 46.97 is: 70.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    128.15 : 192.22 = 46.97 : x
  2. Step 2: Convert to fraction form
    128.15/192.22 = 46.97/x
  3. Step 3: Cross multiply
    128.15x = 192.22 × 46.97
  4. Step 4: Simplify right side
    128.15x = 9,028.94
  5. Step 5: Solve for x
    x = 9,028.94/128.15
  6. Step 6: Final answer
    x = 70.46

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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.