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Finding the Fourth Proportional to 163.20, 244.54 and 102.38

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Solution

The fourth proportional to 163.20, 244.54 and 102.38 is: 153.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    163.20 : 244.54 = 102.38 : x
  2. Step 2: Convert to fraction form
    163.20/244.54 = 102.38/x
  3. Step 3: Cross multiply
    163.20x = 244.54 × 102.38
  4. Step 4: Simplify right side
    163.20x = 25,036.01
  5. Step 5: Solve for x
    x = 25,036.01/163.20
  6. Step 6: Final answer
    x = 153.41

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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.