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Finding the Fourth Proportional to 121.68, 181.92 and 118.80

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Solution

The fourth proportional to 121.68, 181.92 and 118.80 is: 177.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    121.68 : 181.92 = 118.80 : x
  2. Step 2: Convert to fraction form
    121.68/181.92 = 118.80/x
  3. Step 3: Cross multiply
    121.68x = 181.92 × 118.80
  4. Step 4: Simplify right side
    121.68x = 21,612.10
  5. Step 5: Solve for x
    x = 21,612.10/121.68
  6. Step 6: Final answer
    x = 177.61

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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.