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Finding the Fourth Proportional to 159.44, 219.72 and 107.60

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Solution

The fourth proportional to 159.44, 219.72 and 107.60 is: 148.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    159.44 : 219.72 = 107.60 : x
  2. Step 2: Convert to fraction form
    159.44/219.72 = 107.60/x
  3. Step 3: Cross multiply
    159.44x = 219.72 × 107.60
  4. Step 4: Simplify right side
    159.44x = 23,641.87
  5. Step 5: Solve for x
    x = 23,641.87/159.44
  6. Step 6: Final answer
    x = 148.28

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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.