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Finding the Fourth Proportional to 162.92, 244.01 and 121.83

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Solution

The fourth proportional to 162.92, 244.01 and 121.83 is: 182.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    162.92 : 244.01 = 121.83 : x
  2. Step 2: Convert to fraction form
    162.92/244.01 = 121.83/x
  3. Step 3: Cross multiply
    162.92x = 244.01 × 121.83
  4. Step 4: Simplify right side
    162.92x = 29,727.13
  5. Step 5: Solve for x
    x = 29,727.13/162.92
  6. Step 6: Final answer
    x = 182.47

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Why These Related Problems?

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