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Finding the Fourth Proportional to 169.38, 254.09 and 59.69

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Solution

The fourth proportional to 169.38, 254.09 and 59.69 is: 89.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    169.38 : 254.09 = 59.69 : x
  2. Step 2: Convert to fraction form
    169.38/254.09 = 59.69/x
  3. Step 3: Cross multiply
    169.38x = 254.09 × 59.69
  4. Step 4: Simplify right side
    169.38x = 15,167.42
  5. Step 5: Solve for x
    x = 15,167.42/169.38
  6. Step 6: Final answer
    x = 89.55

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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.