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Finding the Fourth Proportional to 163.04, 224.76 and 124.16

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Solution

The fourth proportional to 163.04, 224.76 and 124.16 is: 171.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    163.04 : 224.76 = 124.16 : x
  2. Step 2: Convert to fraction form
    163.04/224.76 = 124.16/x
  3. Step 3: Cross multiply
    163.04x = 224.76 × 124.16
  4. Step 4: Simplify right side
    163.04x = 27,906.20
  5. Step 5: Solve for x
    x = 27,906.20/163.04
  6. Step 6: Final answer
    x = 171.16

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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.