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Finding the Fourth Proportional to 119.51, 165.00 and 104.15

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Solution

The fourth proportional to 119.51, 165.00 and 104.15 is: 143.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    119.51 : 165.00 = 104.15 : x
  2. Step 2: Convert to fraction form
    119.51/165.00 = 104.15/x
  3. Step 3: Cross multiply
    119.51x = 165.00 × 104.15
  4. Step 4: Simplify right side
    119.51x = 17,185.55
  5. Step 5: Solve for x
    x = 17,185.55/119.51
  6. Step 6: Final answer
    x = 143.80

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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.