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Finding the Fourth Proportional to 121.74, 183.48 and 113.88

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Solution

The fourth proportional to 121.74, 183.48 and 113.88 is: 171.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    121.74 : 183.48 = 113.88 : x
  2. Step 2: Convert to fraction form
    121.74/183.48 = 113.88/x
  3. Step 3: Cross multiply
    121.74x = 183.48 × 113.88
  4. Step 4: Simplify right side
    121.74x = 20,894.70
  5. Step 5: Solve for x
    x = 20,894.70/121.74
  6. Step 6: Final answer
    x = 171.63

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.