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Finding the Fourth Proportional to 153.84, 230.39 and 110.54

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Solution

The fourth proportional to 153.84, 230.39 and 110.54 is: 165.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    153.84 : 230.39 = 110.54 : x
  2. Step 2: Convert to fraction form
    153.84/230.39 = 110.54/x
  3. Step 3: Cross multiply
    153.84x = 230.39 × 110.54
  4. Step 4: Simplify right side
    153.84x = 25,467.31
  5. Step 5: Solve for x
    x = 25,467.31/153.84
  6. Step 6: Final answer
    x = 165.54

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.