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Finding the Fourth Proportional to 134.89, 202.47 and 121.84

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Solution

The fourth proportional to 134.89, 202.47 and 121.84 is: 182.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    134.89 : 202.47 = 121.84 : x
  2. Step 2: Convert to fraction form
    134.89/202.47 = 121.84/x
  3. Step 3: Cross multiply
    134.89x = 202.47 × 121.84
  4. Step 4: Simplify right side
    134.89x = 24,668.94
  5. Step 5: Solve for x
    x = 24,668.94/134.89
  6. Step 6: Final answer
    x = 182.88

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.