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Finding the Fourth Proportional to 159.91, 220.71 and 101.68

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Solution

The fourth proportional to 159.91, 220.71 and 101.68 is: 140.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    159.91 : 220.71 = 101.68 : x
  2. Step 2: Convert to fraction form
    159.91/220.71 = 101.68/x
  3. Step 3: Cross multiply
    159.91x = 220.71 × 101.68
  4. Step 4: Simplify right side
    159.91x = 22,441.79
  5. Step 5: Solve for x
    x = 22,441.79/159.91
  6. Step 6: Final answer
    x = 140.34

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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.