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Finding the Fourth Proportional to 159.95, 220.24 and 120.67

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Solution

The fourth proportional to 159.95, 220.24 and 120.67 is: 166.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    159.95 : 220.24 = 120.67 : x
  2. Step 2: Convert to fraction form
    159.95/220.24 = 120.67/x
  3. Step 3: Cross multiply
    159.95x = 220.24 × 120.67
  4. Step 4: Simplify right side
    159.95x = 26,576.36
  5. Step 5: Solve for x
    x = 26,576.36/159.95
  6. Step 6: Final answer
    x = 166.15

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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.