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Finding the Fourth Proportional to 163.02, 225.06 and 107.85

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Solution

The fourth proportional to 163.02, 225.06 and 107.85 is: 148.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    163.02 : 225.06 = 107.85 : x
  2. Step 2: Convert to fraction form
    163.02/225.06 = 107.85/x
  3. Step 3: Cross multiply
    163.02x = 225.06 × 107.85
  4. Step 4: Simplify right side
    163.02x = 24,272.72
  5. Step 5: Solve for x
    x = 24,272.72/163.02
  6. Step 6: Final answer
    x = 148.89

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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.