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Finding the Fourth Proportional to 153.82, 230.81 and 105.63

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Solution

The fourth proportional to 153.82, 230.81 and 105.63 is: 158.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    153.82 : 230.81 = 105.63 : x
  2. Step 2: Convert to fraction form
    153.82/230.81 = 105.63/x
  3. Step 3: Cross multiply
    153.82x = 230.81 × 105.63
  4. Step 4: Simplify right side
    153.82x = 24,380.46
  5. Step 5: Solve for x
    x = 24,380.46/153.82
  6. Step 6: Final answer
    x = 158.50

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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.