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Finding the Fourth Proportional to 163.66, 225.84 and 101.48

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Solution

The fourth proportional to 163.66, 225.84 and 101.48 is: 140.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    163.66 : 225.84 = 101.48 : x
  2. Step 2: Convert to fraction form
    163.66/225.84 = 101.48/x
  3. Step 3: Cross multiply
    163.66x = 225.84 × 101.48
  4. Step 4: Simplify right side
    163.66x = 22,918.24
  5. Step 5: Solve for x
    x = 22,918.24/163.66
  6. Step 6: Final answer
    x = 140.04

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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.