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Finding the Fourth Proportional to 159.77, 220.45 and 107.42

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Solution

The fourth proportional to 159.77, 220.45 and 107.42 is: 148.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    159.77 : 220.45 = 107.42 : x
  2. Step 2: Convert to fraction form
    159.77/220.45 = 107.42/x
  3. Step 3: Cross multiply
    159.77x = 220.45 × 107.42
  4. Step 4: Simplify right side
    159.77x = 23,679.57
  5. Step 5: Solve for x
    x = 23,679.57/159.77
  6. Step 6: Final answer
    x = 148.21

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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.