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Finding the Fourth Proportional to 163.63, 244.86 and 123.01

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Solution

The fourth proportional to 163.63, 244.86 and 123.01 is: 184.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    163.63 : 244.86 = 123.01 : x
  2. Step 2: Convert to fraction form
    163.63/244.86 = 123.01/x
  3. Step 3: Cross multiply
    163.63x = 244.86 × 123.01
  4. Step 4: Simplify right side
    163.63x = 30,120.23
  5. Step 5: Solve for x
    x = 30,120.23/163.63
  6. Step 6: Final answer
    x = 184.08

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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.