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Finding the Fourth Proportional to 159, 219.22 and 102.84

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Solution

The fourth proportional to 159, 219.22 and 102.84 is: 141.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    159 : 219.22 = 102.84 : x
  2. Step 2: Convert to fraction form
    159/219.22 = 102.84/x
  3. Step 3: Cross multiply
    159x = 219.22 × 102.84
  4. Step 4: Simplify right side
    159x = 22,544.58
  5. Step 5: Solve for x
    x = 22,544.58/159
  6. Step 6: Final answer
    x = 141.79

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.