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Finding the Fourth Proportional to 128.24, 192.14 and 102.43

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Solution

The fourth proportional to 128.24, 192.14 and 102.43 is: 153.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    128.24 : 192.14 = 102.43 : x
  2. Step 2: Convert to fraction form
    128.24/192.14 = 102.43/x
  3. Step 3: Cross multiply
    128.24x = 192.14 × 102.43
  4. Step 4: Simplify right side
    128.24x = 19,680.90
  5. Step 5: Solve for x
    x = 19,680.90/128.24
  6. Step 6: Final answer
    x = 153.47

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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.