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Finding the Fourth Proportional to 159.05, 219.37 and 103.82

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Solution

The fourth proportional to 159.05, 219.37 and 103.82 is: 143.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    159.05 : 219.37 = 103.82 : x
  2. Step 2: Convert to fraction form
    159.05/219.37 = 103.82/x
  3. Step 3: Cross multiply
    159.05x = 219.37 × 103.82
  4. Step 4: Simplify right side
    159.05x = 22,774.99
  5. Step 5: Solve for x
    x = 22,774.99/159.05
  6. Step 6: Final answer
    x = 143.19

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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.