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Finding the Fourth Proportional to 148.07, 222.11 and 45.37

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Solution

The fourth proportional to 148.07, 222.11 and 45.37 is: 68.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    148.07 : 222.11 = 45.37 : x
  2. Step 2: Convert to fraction form
    148.07/222.11 = 45.37/x
  3. Step 3: Cross multiply
    148.07x = 222.11 × 45.37
  4. Step 4: Simplify right side
    148.07x = 10,077.35
  5. Step 5: Solve for x
    x = 10,077.35/148.07
  6. Step 6: Final answer
    x = 68.06

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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.