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Finding the Fourth Proportional to 120.11, 165.42 and 115.38

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Solution

The fourth proportional to 120.11, 165.42 and 115.38 is: 158.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    120.11 : 165.42 = 115.38 : x
  2. Step 2: Convert to fraction form
    120.11/165.42 = 115.38/x
  3. Step 3: Cross multiply
    120.11x = 165.42 × 115.38
  4. Step 4: Simplify right side
    120.11x = 19,086.16
  5. Step 5: Solve for x
    x = 19,086.16/120.11
  6. Step 6: Final answer
    x = 158.91

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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.