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Finding the Fourth Proportional to 154.46, 231.51 and 82.19

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Solution

The fourth proportional to 154.46, 231.51 and 82.19 is: 123.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    154.46 : 231.51 = 82.19 : x
  2. Step 2: Convert to fraction form
    154.46/231.51 = 82.19/x
  3. Step 3: Cross multiply
    154.46x = 231.51 × 82.19
  4. Step 4: Simplify right side
    154.46x = 19,027.81
  5. Step 5: Solve for x
    x = 19,027.81/154.46
  6. Step 6: Final answer
    x = 123.19

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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.