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Finding the Fourth Proportional to 162.09, 243.13 and 110.83

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Solution

The fourth proportional to 162.09, 243.13 and 110.83 is: 166.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    162.09 : 243.13 = 110.83 : x
  2. Step 2: Convert to fraction form
    162.09/243.13 = 110.83/x
  3. Step 3: Cross multiply
    162.09x = 243.13 × 110.83
  4. Step 4: Simplify right side
    162.09x = 26,946.10
  5. Step 5: Solve for x
    x = 26,946.10/162.09
  6. Step 6: Final answer
    x = 166.24

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.