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Finding the Fourth Proportional to 148.66, 222.78 and 67.48

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Solution

The fourth proportional to 148.66, 222.78 and 67.48 is: 101.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    148.66 : 222.78 = 67.48 : x
  2. Step 2: Convert to fraction form
    148.66/222.78 = 67.48/x
  3. Step 3: Cross multiply
    148.66x = 222.78 × 67.48
  4. Step 4: Simplify right side
    148.66x = 15,033.19
  5. Step 5: Solve for x
    x = 15,033.19/148.66
  6. Step 6: Final answer
    x = 101.12

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.