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Finding the Fourth Proportional to 119.70, 165.18 and 74.82

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Solution

The fourth proportional to 119.70, 165.18 and 74.82 is: 103.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    119.70 : 165.18 = 74.82 : x
  2. Step 2: Convert to fraction form
    119.70/165.18 = 74.82/x
  3. Step 3: Cross multiply
    119.70x = 165.18 × 74.82
  4. Step 4: Simplify right side
    119.70x = 12,359.14
  5. Step 5: Solve for x
    x = 12,359.14/119.70
  6. Step 6: Final answer
    x = 103.25

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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.