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Finding the Fourth Proportional to 159.86, 220.65 and 101.67

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Solution

The fourth proportional to 159.86, 220.65 and 101.67 is: 140.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    159.86 : 220.65 = 101.67 : x
  2. Step 2: Convert to fraction form
    159.86/220.65 = 101.67/x
  3. Step 3: Cross multiply
    159.86x = 220.65 × 101.67
  4. Step 4: Simplify right side
    159.86x = 22,433.49
  5. Step 5: Solve for x
    x = 22,433.49/159.86
  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.