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Finding the Fourth Proportional to 121.33, 181.86 and 72.65

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Solution

The fourth proportional to 121.33, 181.86 and 72.65 is: 108.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    121.33 : 181.86 = 72.65 : x
  2. Step 2: Convert to fraction form
    121.33/181.86 = 72.65/x
  3. Step 3: Cross multiply
    121.33x = 181.86 × 72.65
  4. Step 4: Simplify right side
    121.33x = 13,211.70
  5. Step 5: Solve for x
    x = 13,211.70/121.33
  6. Step 6: Final answer
    x = 108.89

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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.