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Finding the Fourth Proportional to 172.96, 259.38 and 100.86

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Solution

The fourth proportional to 172.96, 259.38 and 100.86 is: 151.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    172.96 : 259.38 = 100.86 : x
  2. Step 2: Convert to fraction form
    172.96/259.38 = 100.86/x
  3. Step 3: Cross multiply
    172.96x = 259.38 × 100.86
  4. Step 4: Simplify right side
    172.96x = 26,161.07
  5. Step 5: Solve for x
    x = 26,161.07/172.96
  6. Step 6: Final answer
    x = 151.26

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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.