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Finding the Fourth Proportional to 120.32, 165.99 and 76.07

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Solution

The fourth proportional to 120.32, 165.99 and 76.07 is: 104.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    120.32 : 165.99 = 76.07 : x
  2. Step 2: Convert to fraction form
    120.32/165.99 = 76.07/x
  3. Step 3: Cross multiply
    120.32x = 165.99 × 76.07
  4. Step 4: Simplify right side
    120.32x = 12,626.03
  5. Step 5: Solve for x
    x = 12,626.03/120.32
  6. Step 6: Final answer
    x = 104.94

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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.