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Finding the Fourth Proportional to 119.89, 165.58 and 85.12

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Solution

The fourth proportional to 119.89, 165.58 and 85.12 is: 117.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    119.89 : 165.58 = 85.12 : x
  2. Step 2: Convert to fraction form
    119.89/165.58 = 85.12/x
  3. Step 3: Cross multiply
    119.89x = 165.58 × 85.12
  4. Step 4: Simplify right side
    119.89x = 14,093.54
  5. Step 5: Solve for x
    x = 14,093.54/119.89
  6. Step 6: Final answer
    x = 117.55

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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.