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Finding the Fourth Proportional to 120.33, 165.33 and 95.72

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Solution

The fourth proportional to 120.33, 165.33 and 95.72 is: 131.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    120.33 : 165.33 = 95.72 : x
  2. Step 2: Convert to fraction form
    120.33/165.33 = 95.72/x
  3. Step 3: Cross multiply
    120.33x = 165.33 × 95.72
  4. Step 4: Simplify right side
    120.33x = 15,826.32
  5. Step 5: Solve for x
    x = 15,826.32/120.33
  6. Step 6: Final answer
    x = 131.53

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.