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Finding the Fourth Proportional to 148.23, 222.14 and 102.67

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Solution

The fourth proportional to 148.23, 222.14 and 102.67 is: 153.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    148.23 : 222.14 = 102.67 : x
  2. Step 2: Convert to fraction form
    148.23/222.14 = 102.67/x
  3. Step 3: Cross multiply
    148.23x = 222.14 × 102.67
  4. Step 4: Simplify right side
    148.23x = 22,806.82
  5. Step 5: Solve for x
    x = 22,806.82/148.23
  6. Step 6: Final answer
    x = 153.86

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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.