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Finding the Fourth Proportional to 120.11, 165.92 and 95.51

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Solution

The fourth proportional to 120.11, 165.92 and 95.51 is: 131.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    120.11 : 165.92 = 95.51 : x
  2. Step 2: Convert to fraction form
    120.11/165.92 = 95.51/x
  3. Step 3: Cross multiply
    120.11x = 165.92 × 95.51
  4. Step 4: Simplify right side
    120.11x = 15,846.96
  5. Step 5: Solve for x
    x = 15,846.96/120.11
  6. Step 6: Final answer
    x = 131.94

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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.