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Finding the Fourth Proportional to 169.54, 233.90 and 104.04

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Solution

The fourth proportional to 169.54, 233.90 and 104.04 is: 143.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    169.54 : 233.90 = 104.04 : x
  2. Step 2: Convert to fraction form
    169.54/233.90 = 104.04/x
  3. Step 3: Cross multiply
    169.54x = 233.90 × 104.04
  4. Step 4: Simplify right side
    169.54x = 24,334.96
  5. Step 5: Solve for x
    x = 24,334.96/169.54
  6. Step 6: Final answer
    x = 143.54

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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.