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Finding the Fourth Proportional to 148.16, 222.24 and 45.44

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Solution

The fourth proportional to 148.16, 222.24 and 45.44 is: 68.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    148.16 : 222.24 = 45.44 : x
  2. Step 2: Convert to fraction form
    148.16/222.24 = 45.44/x
  3. Step 3: Cross multiply
    148.16x = 222.24 × 45.44
  4. Step 4: Simplify right side
    148.16x = 10,098.59
  5. Step 5: Solve for x
    x = 10,098.59/148.16
  6. Step 6: Final answer
    x = 68.16

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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.