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Finding the Fourth Proportional to 119.50, 164.92 and 75.26

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Solution

The fourth proportional to 119.50, 164.92 and 75.26 is: 103.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    119.50 : 164.92 = 75.26 : x
  2. Step 2: Convert to fraction form
    119.50/164.92 = 75.26/x
  3. Step 3: Cross multiply
    119.50x = 164.92 × 75.26
  4. Step 4: Simplify right side
    119.50x = 12,411.28
  5. Step 5: Solve for x
    x = 12,411.28/119.50
  6. Step 6: Final answer
    x = 103.86

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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.