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Finding the Fourth Proportional to 169.89, 254.51 and 103.85

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Solution

The fourth proportional to 169.89, 254.51 and 103.85 is: 155.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    169.89 : 254.51 = 103.85 : x
  2. Step 2: Convert to fraction form
    169.89/254.51 = 103.85/x
  3. Step 3: Cross multiply
    169.89x = 254.51 × 103.85
  4. Step 4: Simplify right side
    169.89x = 26,430.86
  5. Step 5: Solve for x
    x = 26,430.86/169.89
  6. Step 6: Final answer
    x = 155.58

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.