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Finding the Fourth Proportional to 159.99, 220.82 and 107.57

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Solution

The fourth proportional to 159.99, 220.82 and 107.57 is: 148.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    159.99 : 220.82 = 107.57 : x
  2. Step 2: Convert to fraction form
    159.99/220.82 = 107.57/x
  3. Step 3: Cross multiply
    159.99x = 220.82 × 107.57
  4. Step 4: Simplify right side
    159.99x = 23,751.97
  5. Step 5: Solve for x
    x = 23,751.97/159.99
  6. Step 6: Final answer
    x = 148.46

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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.