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Finding the Fourth Proportional to 162.05, 223.72 and 125.13

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Solution

The fourth proportional to 162.05, 223.72 and 125.13 is: 172.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    162.05 : 223.72 = 125.13 : x
  2. Step 2: Convert to fraction form
    162.05/223.72 = 125.13/x
  3. Step 3: Cross multiply
    162.05x = 223.72 × 125.13
  4. Step 4: Simplify right side
    162.05x = 27,993.77
  5. Step 5: Solve for x
    x = 27,993.77/162.05
  6. Step 6: Final answer
    x = 172.75

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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.