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Finding the Fourth Proportional to 148.23, 222.72 and 109.96

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Solution

The fourth proportional to 148.23, 222.72 and 109.96 is: 165.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    148.23 : 222.72 = 109.96 : x
  2. Step 2: Convert to fraction form
    148.23/222.72 = 109.96/x
  3. Step 3: Cross multiply
    148.23x = 222.72 × 109.96
  4. Step 4: Simplify right side
    148.23x = 24,490.25
  5. Step 5: Solve for x
    x = 24,490.25/148.23
  6. Step 6: Final answer
    x = 165.22

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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.