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Finding the Fourth Proportional to 163.54, 245.13 and 102.70

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Solution

The fourth proportional to 163.54, 245.13 and 102.70 is: 153.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    163.54 : 245.13 = 102.70 : x
  2. Step 2: Convert to fraction form
    163.54/245.13 = 102.70/x
  3. Step 3: Cross multiply
    163.54x = 245.13 × 102.70
  4. Step 4: Simplify right side
    163.54x = 25,174.85
  5. Step 5: Solve for x
    x = 25,174.85/163.54
  6. Step 6: Final answer
    x = 153.94

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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.