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Finding the Fourth Proportional to 172.19, 258.12 and 90.92

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Solution

The fourth proportional to 172.19, 258.12 and 90.92 is: 136.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    172.19 : 258.12 = 90.92 : x
  2. Step 2: Convert to fraction form
    172.19/258.12 = 90.92/x
  3. Step 3: Cross multiply
    172.19x = 258.12 × 90.92
  4. Step 4: Simplify right side
    172.19x = 23,468.92
  5. Step 5: Solve for x
    x = 23,468.92/172.19
  6. Step 6: Final answer
    x = 136.29

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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.