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Finding the Fourth Proportional to 120.12, 165.92 and 99.48

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Solution

The fourth proportional to 120.12, 165.92 and 99.48 is: 137.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    120.12 : 165.92 = 99.48 : x
  2. Step 2: Convert to fraction form
    120.12/165.92 = 99.48/x
  3. Step 3: Cross multiply
    120.12x = 165.92 × 99.48
  4. Step 4: Simplify right side
    120.12x = 16,505.72
  5. Step 5: Solve for x
    x = 16,505.72/120.12
  6. Step 6: Final answer
    x = 137.41

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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.