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Finding the Fourth Proportional to 163.48, 245.24 and 67.28

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Solution

The fourth proportional to 163.48, 245.24 and 67.28 is: 100.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    163.48 : 245.24 = 67.28 : x
  2. Step 2: Convert to fraction form
    163.48/245.24 = 67.28/x
  3. Step 3: Cross multiply
    163.48x = 245.24 × 67.28
  4. Step 4: Simplify right side
    163.48x = 16,499.75
  5. Step 5: Solve for x
    x = 16,499.75/163.48
  6. Step 6: Final answer
    x = 100.93

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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.