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Finding the Fourth Proportional to 154.89, 231.85 and 82.53

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Solution

The fourth proportional to 154.89, 231.85 and 82.53 is: 123.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    154.89 : 231.85 = 82.53 : x
  2. Step 2: Convert to fraction form
    154.89/231.85 = 82.53/x
  3. Step 3: Cross multiply
    154.89x = 231.85 × 82.53
  4. Step 4: Simplify right side
    154.89x = 19,134.58
  5. Step 5: Solve for x
    x = 19,134.58/154.89
  6. Step 6: Final answer
    x = 123.54

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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.