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Finding the Fourth Proportional to 159.86, 220.57 and 107.49

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Solution

The fourth proportional to 159.86, 220.57 and 107.49 is: 148.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    159.86 : 220.57 = 107.49 : x
  2. Step 2: Convert to fraction form
    159.86/220.57 = 107.49/x
  3. Step 3: Cross multiply
    159.86x = 220.57 × 107.49
  4. Step 4: Simplify right side
    159.86x = 23,708.37
  5. Step 5: Solve for x
    x = 23,708.37/159.86
  6. Step 6: Final answer
    x = 148.31

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