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Finding the Fourth Proportional to 120.24, 165.69 and 113.85

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Solution

The fourth proportional to 120.24, 165.69 and 113.85 is: 156.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    120.24 : 165.69 = 113.85 : x
  2. Step 2: Convert to fraction form
    120.24/165.69 = 113.85/x
  3. Step 3: Cross multiply
    120.24x = 165.69 × 113.85
  4. Step 4: Simplify right side
    120.24x = 18,863.81
  5. Step 5: Solve for x
    x = 18,863.81/120.24
  6. Step 6: Final answer
    x = 156.88

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.