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Finding the Fourth Proportional to 163.40, 225.60 and 105.24

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Solution

The fourth proportional to 163.40, 225.60 and 105.24 is: 145.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    163.40 : 225.60 = 105.24 : x
  2. Step 2: Convert to fraction form
    163.40/225.60 = 105.24/x
  3. Step 3: Cross multiply
    163.40x = 225.60 × 105.24
  4. Step 4: Simplify right side
    163.40x = 23,742.14
  5. Step 5: Solve for x
    x = 23,742.14/163.40
  6. Step 6: Final answer
    x = 145.30

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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.