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Finding the Fourth Proportional to 159.71, 220.34 and 100.67

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Solution

The fourth proportional to 159.71, 220.34 and 100.67 is: 138.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    159.71 : 220.34 = 100.67 : x
  2. Step 2: Convert to fraction form
    159.71/220.34 = 100.67/x
  3. Step 3: Cross multiply
    159.71x = 220.34 × 100.67
  4. Step 4: Simplify right side
    159.71x = 22,180.02
  5. Step 5: Solve for x
    x = 22,180.02/159.71
  6. Step 6: Final answer
    x = 138.88

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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.