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Finding the Fourth Proportional to 148.69, 222.87 and 97.24

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Solution

The fourth proportional to 148.69, 222.87 and 97.24 is: 145.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    148.69 : 222.87 = 97.24 : x
  2. Step 2: Convert to fraction form
    148.69/222.87 = 97.24/x
  3. Step 3: Cross multiply
    148.69x = 222.87 × 97.24
  4. Step 4: Simplify right side
    148.69x = 21,671.88
  5. Step 5: Solve for x
    x = 21,671.88/148.69
  6. Step 6: Final answer
    x = 145.75

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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.