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Finding the Fourth Proportional to 163.05, 224.88 and 107.76

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Solution

The fourth proportional to 163.05, 224.88 and 107.76 is: 148.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    163.05 : 224.88 = 107.76 : x
  2. Step 2: Convert to fraction form
    163.05/224.88 = 107.76/x
  3. Step 3: Cross multiply
    163.05x = 224.88 × 107.76
  4. Step 4: Simplify right side
    163.05x = 24,233.51
  5. Step 5: Solve for x
    x = 24,233.51/163.05
  6. Step 6: Final answer
    x = 148.63

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.