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Finding the Fourth Proportional to 121.43, 182.32 and 75.65

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Solution

The fourth proportional to 121.43, 182.32 and 75.65 is: 113.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    121.43 : 182.32 = 75.65 : x
  2. Step 2: Convert to fraction form
    121.43/182.32 = 75.65/x
  3. Step 3: Cross multiply
    121.43x = 182.32 × 75.65
  4. Step 4: Simplify right side
    121.43x = 13,792.51
  5. Step 5: Solve for x
    x = 13,792.51/121.43
  6. Step 6: Final answer
    x = 113.58

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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.