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Finding the Fourth Proportional to 120.64, 165.62 and 113.44

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Solution

The fourth proportional to 120.64, 165.62 and 113.44 is: 155.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    120.64 : 165.62 = 113.44 : x
  2. Step 2: Convert to fraction form
    120.64/165.62 = 113.44/x
  3. Step 3: Cross multiply
    120.64x = 165.62 × 113.44
  4. Step 4: Simplify right side
    120.64x = 18,787.93
  5. Step 5: Solve for x
    x = 18,787.93/120.64
  6. Step 6: Final answer
    x = 155.74

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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.