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Finding the Fourth Proportional to 148.32, 222.43 and 76.17

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Solution

The fourth proportional to 148.32, 222.43 and 76.17 is: 114.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    148.32 : 222.43 = 76.17 : x
  2. Step 2: Convert to fraction form
    148.32/222.43 = 76.17/x
  3. Step 3: Cross multiply
    148.32x = 222.43 × 76.17
  4. Step 4: Simplify right side
    148.32x = 16,942.49
  5. Step 5: Solve for x
    x = 16,942.49/148.32
  6. Step 6: Final answer
    x = 114.23

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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.