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Finding the Fourth Proportional to 163.64, 225.74 and 101.46

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Solution

The fourth proportional to 163.64, 225.74 and 101.46 is: 139.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    163.64 : 225.74 = 101.46 : x
  2. Step 2: Convert to fraction form
    163.64/225.74 = 101.46/x
  3. Step 3: Cross multiply
    163.64x = 225.74 × 101.46
  4. Step 4: Simplify right side
    163.64x = 22,903.58
  5. Step 5: Solve for x
    x = 22,903.58/163.64
  6. Step 6: Final answer
    x = 139.96

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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.