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Finding the Fourth Proportional to 119.55, 164.89 and 75.85

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Solution

The fourth proportional to 119.55, 164.89 and 75.85 is: 104.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    119.55 : 164.89 = 75.85 : x
  2. Step 2: Convert to fraction form
    119.55/164.89 = 75.85/x
  3. Step 3: Cross multiply
    119.55x = 164.89 × 75.85
  4. Step 4: Simplify right side
    119.55x = 12,506.08
  5. Step 5: Solve for x
    x = 12,506.08/119.55
  6. Step 6: Final answer
    x = 104.61

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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.