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Finding the Fourth Proportional to 154.09, 230.92 and 89.05

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Solution

The fourth proportional to 154.09, 230.92 and 89.05 is: 133.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    154.09 : 230.92 = 89.05 : x
  2. Step 2: Convert to fraction form
    154.09/230.92 = 89.05/x
  3. Step 3: Cross multiply
    154.09x = 230.92 × 89.05
  4. Step 4: Simplify right side
    154.09x = 20,561.83
  5. Step 5: Solve for x
    x = 20,561.83/154.09
  6. Step 6: Final answer
    x = 133.44

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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.