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Finding the Fourth Proportional to 163.40, 245.12 and 82.26

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Solution

The fourth proportional to 163.40, 245.12 and 82.26 is: 123.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    163.40 : 245.12 = 82.26 : x
  2. Step 2: Convert to fraction form
    163.40/245.12 = 82.26/x
  3. Step 3: Cross multiply
    163.40x = 245.12 × 82.26
  4. Step 4: Simplify right side
    163.40x = 20,163.16
  5. Step 5: Solve for x
    x = 20,163.16/163.40
  6. Step 6: Final answer
    x = 123.40

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.