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Finding the Fourth Proportional to 120.51, 165.83 and 102.69

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Solution

The fourth proportional to 120.51, 165.83 and 102.69 is: 141.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    120.51 : 165.83 = 102.69 : x
  2. Step 2: Convert to fraction form
    120.51/165.83 = 102.69/x
  3. Step 3: Cross multiply
    120.51x = 165.83 × 102.69
  4. Step 4: Simplify right side
    120.51x = 17,028.57
  5. Step 5: Solve for x
    x = 17,028.57/120.51
  6. Step 6: Final answer
    x = 141.30

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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.