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Finding the Fourth Proportional to 162.43, 224.05 and 107.18

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Solution

The fourth proportional to 162.43, 224.05 and 107.18 is: 147.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    162.43 : 224.05 = 107.18 : x
  2. Step 2: Convert to fraction form
    162.43/224.05 = 107.18/x
  3. Step 3: Cross multiply
    162.43x = 224.05 × 107.18
  4. Step 4: Simplify right side
    162.43x = 24,013.33
  5. Step 5: Solve for x
    x = 24,013.33/162.43
  6. Step 6: Final answer
    x = 147.84

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.