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Finding the Fourth Proportional to 120.10, 165.54 and 83.24

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Solution

The fourth proportional to 120.10, 165.54 and 83.24 is: 114.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    120.10 : 165.54 = 83.24 : x
  2. Step 2: Convert to fraction form
    120.10/165.54 = 83.24/x
  3. Step 3: Cross multiply
    120.10x = 165.54 × 83.24
  4. Step 4: Simplify right side
    120.10x = 13,779.55
  5. Step 5: Solve for x
    x = 13,779.55/120.10
  6. Step 6: Final answer
    x = 114.73

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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.