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Finding the Fourth Proportional to 148.64, 222.96 and 40.44

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Solution

The fourth proportional to 148.64, 222.96 and 40.44 is: 60.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    148.64 : 222.96 = 40.44 : x
  2. Step 2: Convert to fraction form
    148.64/222.96 = 40.44/x
  3. Step 3: Cross multiply
    148.64x = 222.96 × 40.44
  4. Step 4: Simplify right side
    148.64x = 9,016.50
  5. Step 5: Solve for x
    x = 9,016.50/148.64
  6. Step 6: Final answer
    x = 60.66

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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.