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Finding the Fourth Proportional to 128.26, 192.36 and 64.12

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Solution

The fourth proportional to 128.26, 192.36 and 64.12 is: 96.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    128.26 : 192.36 = 64.12 : x
  2. Step 2: Convert to fraction form
    128.26/192.36 = 64.12/x
  3. Step 3: Cross multiply
    128.26x = 192.36 × 64.12
  4. Step 4: Simplify right side
    128.26x = 12,334.12
  5. Step 5: Solve for x
    x = 12,334.12/128.26
  6. Step 6: Final answer
    x = 96.17

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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.