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Finding the Fourth Proportional to 162.79, 243.22 and 120.92

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Solution

The fourth proportional to 162.79, 243.22 and 120.92 is: 180.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    162.79 : 243.22 = 120.92 : x
  2. Step 2: Convert to fraction form
    162.79/243.22 = 120.92/x
  3. Step 3: Cross multiply
    162.79x = 243.22 × 120.92
  4. Step 4: Simplify right side
    162.79x = 29,410.06
  5. Step 5: Solve for x
    x = 29,410.06/162.79
  6. Step 6: Final answer
    x = 180.66

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.