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Finding the Fourth Proportional to 159.77, 220.57 and 107.43

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Solution

The fourth proportional to 159.77, 220.57 and 107.43 is: 148.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    159.77 : 220.57 = 107.43 : x
  2. Step 2: Convert to fraction form
    159.77/220.57 = 107.43/x
  3. Step 3: Cross multiply
    159.77x = 220.57 × 107.43
  4. Step 4: Simplify right side
    159.77x = 23,695.34
  5. Step 5: Solve for x
    x = 23,695.34/159.77
  6. Step 6: Final answer
    x = 148.31

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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.