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Finding the Fourth Proportional to 120.47, 166.10 and 113.97

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Solution

The fourth proportional to 120.47, 166.10 and 113.97 is: 157.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    120.47 : 166.10 = 113.97 : x
  2. Step 2: Convert to fraction form
    120.47/166.10 = 113.97/x
  3. Step 3: Cross multiply
    120.47x = 166.10 × 113.97
  4. Step 4: Simplify right side
    120.47x = 18,929.85
  5. Step 5: Solve for x
    x = 18,929.85/120.47
  6. Step 6: Final answer
    x = 157.14

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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.