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Finding the Fourth Proportional to 120.38, 166.14 and 113.06

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Solution

The fourth proportional to 120.38, 166.14 and 113.06 is: 156.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    120.38 : 166.14 = 113.06 : x
  2. Step 2: Convert to fraction form
    120.38/166.14 = 113.06/x
  3. Step 3: Cross multiply
    120.38x = 166.14 × 113.06
  4. Step 4: Simplify right side
    120.38x = 18,783.79
  5. Step 5: Solve for x
    x = 18,783.79/120.38
  6. Step 6: Final answer
    x = 156.04

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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.