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Finding the Fourth Proportional to 153.92, 230.31 and 108.38

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Solution

The fourth proportional to 153.92, 230.31 and 108.38 is: 162.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    153.92 : 230.31 = 108.38 : x
  2. Step 2: Convert to fraction form
    153.92/230.31 = 108.38/x
  3. Step 3: Cross multiply
    153.92x = 230.31 × 108.38
  4. Step 4: Simplify right side
    153.92x = 24,959.85
  5. Step 5: Solve for x
    x = 24,959.85/153.92
  6. Step 6: Final answer
    x = 162.17

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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.