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Finding the Fourth Proportional to 172.87, 259.26 and 57.29

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Solution

The fourth proportional to 172.87, 259.26 and 57.29 is: 85.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    172.87 : 259.26 = 57.29 : x
  2. Step 2: Convert to fraction form
    172.87/259.26 = 57.29/x
  3. Step 3: Cross multiply
    172.87x = 259.26 × 57.29
  4. Step 4: Simplify right side
    172.87x = 14,853.01
  5. Step 5: Solve for x
    x = 14,853.01/172.87
  6. Step 6: Final answer
    x = 85.92

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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.