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Finding the Fourth Proportional to 162.09, 223.63 and 106.76

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Solution

The fourth proportional to 162.09, 223.63 and 106.76 is: 147.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    162.09 : 223.63 = 106.76 : x
  2. Step 2: Convert to fraction form
    162.09/223.63 = 106.76/x
  3. Step 3: Cross multiply
    162.09x = 223.63 × 106.76
  4. Step 4: Simplify right side
    162.09x = 23,875.03
  5. Step 5: Solve for x
    x = 23,875.03/162.09
  6. Step 6: Final answer
    x = 147.29

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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.