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Finding the Fourth Proportional to 148.09, 222.08 and 43.94

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Solution

The fourth proportional to 148.09, 222.08 and 43.94 is: 65.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    148.09 : 222.08 = 43.94 : x
  2. Step 2: Convert to fraction form
    148.09/222.08 = 43.94/x
  3. Step 3: Cross multiply
    148.09x = 222.08 × 43.94
  4. Step 4: Simplify right side
    148.09x = 9,758.53
  5. Step 5: Solve for x
    x = 9,758.53/148.09
  6. Step 6: Final answer
    x = 65.90

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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.