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Finding the Fourth Proportional to 148.82, 223.34 and 105.53

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Solution

The fourth proportional to 148.82, 223.34 and 105.53 is: 158.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    148.82 : 223.34 = 105.53 : x
  2. Step 2: Convert to fraction form
    148.82/223.34 = 105.53/x
  3. Step 3: Cross multiply
    148.82x = 223.34 × 105.53
  4. Step 4: Simplify right side
    148.82x = 23,568.22
  5. Step 5: Solve for x
    x = 23,568.22/148.82
  6. Step 6: Final answer
    x = 158.37

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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.