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Finding the Fourth Proportional to 119.56, 164.96 and 75.87

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Solution

The fourth proportional to 119.56, 164.96 and 75.87 is: 104.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    119.56 : 164.96 = 75.87 : x
  2. Step 2: Convert to fraction form
    119.56/164.96 = 75.87/x
  3. Step 3: Cross multiply
    119.56x = 164.96 × 75.87
  4. Step 4: Simplify right side
    119.56x = 12,515.70
  5. Step 5: Solve for x
    x = 12,515.70/119.56
  6. Step 6: Final answer
    x = 104.68

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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.