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Finding the Fourth Proportional to 159.62, 220.47 and 120.98

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Solution

The fourth proportional to 159.62, 220.47 and 120.98 is: 167.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    159.62 : 220.47 = 120.98 : x
  2. Step 2: Convert to fraction form
    159.62/220.47 = 120.98/x
  3. Step 3: Cross multiply
    159.62x = 220.47 × 120.98
  4. Step 4: Simplify right side
    159.62x = 26,672.46
  5. Step 5: Solve for x
    x = 26,672.46/159.62
  6. Step 6: Final answer
    x = 167.10

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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.