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Finding the Fourth Proportional to 169.46, 254.13 and 100.91

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Solution

The fourth proportional to 169.46, 254.13 and 100.91 is: 151.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    169.46 : 254.13 = 100.91 : x
  2. Step 2: Convert to fraction form
    169.46/254.13 = 100.91/x
  3. Step 3: Cross multiply
    169.46x = 254.13 × 100.91
  4. Step 4: Simplify right side
    169.46x = 25,642.99
  5. Step 5: Solve for x
    x = 25,642.99/169.46
  6. Step 6: Final answer
    x = 151.33

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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.