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Finding the Fourth Proportional to 120.24, 165.94 and 116.46

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Solution

The fourth proportional to 120.24, 165.94 and 116.46 is: 160.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    120.24 : 165.94 = 116.46 : x
  2. Step 2: Convert to fraction form
    120.24/165.94 = 116.46/x
  3. Step 3: Cross multiply
    120.24x = 165.94 × 116.46
  4. Step 4: Simplify right side
    120.24x = 19,325.37
  5. Step 5: Solve for x
    x = 19,325.37/120.24
  6. Step 6: Final answer
    x = 160.72

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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.