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Finding the Fourth Proportional to 172.38, 258.27 and 91.05

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Solution

The fourth proportional to 172.38, 258.27 and 91.05 is: 136.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    172.38 : 258.27 = 91.05 : x
  2. Step 2: Convert to fraction form
    172.38/258.27 = 91.05/x
  3. Step 3: Cross multiply
    172.38x = 258.27 × 91.05
  4. Step 4: Simplify right side
    172.38x = 23,515.48
  5. Step 5: Solve for x
    x = 23,515.48/172.38
  6. Step 6: Final answer
    x = 136.42

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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.