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Finding the Fourth Proportional to 148.05, 222.35 and 96.75

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Solution

The fourth proportional to 148.05, 222.35 and 96.75 is: 145.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    148.05 : 222.35 = 96.75 : x
  2. Step 2: Convert to fraction form
    148.05/222.35 = 96.75/x
  3. Step 3: Cross multiply
    148.05x = 222.35 × 96.75
  4. Step 4: Simplify right side
    148.05x = 21,511.88
  5. Step 5: Solve for x
    x = 21,511.88/148.05
  6. Step 6: Final answer
    x = 145.30

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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.