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Finding the Fourth Proportional to 169.80, 254.71 and 67.07

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Solution

The fourth proportional to 169.80, 254.71 and 67.07 is: 100.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    169.80 : 254.71 = 67.07 : x
  2. Step 2: Convert to fraction form
    169.80/254.71 = 67.07/x
  3. Step 3: Cross multiply
    169.80x = 254.71 × 67.07
  4. Step 4: Simplify right side
    169.80x = 17,083.40
  5. Step 5: Solve for x
    x = 17,083.40/169.80
  6. Step 6: Final answer
    x = 100.61

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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.