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Finding the Fourth Proportional to 162.30, 224.03 and 125.54

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Solution

The fourth proportional to 162.30, 224.03 and 125.54 is: 173.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    162.30 : 224.03 = 125.54 : x
  2. Step 2: Convert to fraction form
    162.30/224.03 = 125.54/x
  3. Step 3: Cross multiply
    162.30x = 224.03 × 125.54
  4. Step 4: Simplify right side
    162.30x = 28,124.73
  5. Step 5: Solve for x
    x = 28,124.73/162.30
  6. Step 6: Final answer
    x = 173.29

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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.