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Finding the Fourth Proportional to 121.65, 182.25 and 78.32

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Solution

The fourth proportional to 121.65, 182.25 and 78.32 is: 117.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    121.65 : 182.25 = 78.32 : x
  2. Step 2: Convert to fraction form
    121.65/182.25 = 78.32/x
  3. Step 3: Cross multiply
    121.65x = 182.25 × 78.32
  4. Step 4: Simplify right side
    121.65x = 14,273.25
  5. Step 5: Solve for x
    x = 14,273.25/121.65
  6. Step 6: Final answer
    x = 117.33

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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.