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Finding the Fourth Proportional to 128.72, 192.71 and 85.43

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Solution

The fourth proportional to 128.72, 192.71 and 85.43 is: 127.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    128.72 : 192.71 = 85.43 : x
  2. Step 2: Convert to fraction form
    128.72/192.71 = 85.43/x
  3. Step 3: Cross multiply
    128.72x = 192.71 × 85.43
  4. Step 4: Simplify right side
    128.72x = 16,463.91
  5. Step 5: Solve for x
    x = 16,463.91/128.72
  6. Step 6: Final answer
    x = 127.90

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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.