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Finding the Fourth Proportional to 154.54, 231.82 and 89.74

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Solution

The fourth proportional to 154.54, 231.82 and 89.74 is: 134.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    154.54 : 231.82 = 89.74 : x
  2. Step 2: Convert to fraction form
    154.54/231.82 = 89.74/x
  3. Step 3: Cross multiply
    154.54x = 231.82 × 89.74
  4. Step 4: Simplify right side
    154.54x = 20,803.53
  5. Step 5: Solve for x
    x = 20,803.53/154.54
  6. Step 6: Final answer
    x = 134.62

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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.