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Finding the Fourth Proportional to 172.90, 259.15 and 75.36

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Solution

The fourth proportional to 172.90, 259.15 and 75.36 is: 112.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    172.90 : 259.15 = 75.36 : x
  2. Step 2: Convert to fraction form
    172.90/259.15 = 75.36/x
  3. Step 3: Cross multiply
    172.90x = 259.15 × 75.36
  4. Step 4: Simplify right side
    172.90x = 19,529.54
  5. Step 5: Solve for x
    x = 19,529.54/172.90
  6. Step 6: Final answer
    x = 112.95

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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.