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Finding the Fourth Proportional to 119.90, 165.12 and 98.12

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Solution

The fourth proportional to 119.90, 165.12 and 98.12 is: 135.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    119.90 : 165.12 = 98.12 : x
  2. Step 2: Convert to fraction form
    119.90/165.12 = 98.12/x
  3. Step 3: Cross multiply
    119.90x = 165.12 × 98.12
  4. Step 4: Simplify right side
    119.90x = 16,201.57
  5. Step 5: Solve for x
    x = 16,201.57/119.90
  6. Step 6: Final answer
    x = 135.13

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.