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Finding the Fourth Proportional to 128.86, 192.92 and 115.67

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Solution

The fourth proportional to 128.86, 192.92 and 115.67 is: 173.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    128.86 : 192.92 = 115.67 : x
  2. Step 2: Convert to fraction form
    128.86/192.92 = 115.67/x
  3. Step 3: Cross multiply
    128.86x = 192.92 × 115.67
  4. Step 4: Simplify right side
    128.86x = 22,315.06
  5. Step 5: Solve for x
    x = 22,315.06/128.86
  6. Step 6: Final answer
    x = 173.17

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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.