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Finding the Fourth Proportional to 128.69, 192.96 and 74.69

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Solution

The fourth proportional to 128.69, 192.96 and 74.69 is: 111.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    128.69 : 192.96 = 74.69 : x
  2. Step 2: Convert to fraction form
    128.69/192.96 = 74.69/x
  3. Step 3: Cross multiply
    128.69x = 192.96 × 74.69
  4. Step 4: Simplify right side
    128.69x = 14,411.22
  5. Step 5: Solve for x
    x = 14,411.22/128.69
  6. Step 6: Final answer
    x = 111.99

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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.