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Finding the Fourth Proportional to 172.86, 259.33 and 100.77

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Solution

The fourth proportional to 172.86, 259.33 and 100.77 is: 151.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    172.86 : 259.33 = 100.77 : x
  2. Step 2: Convert to fraction form
    172.86/259.33 = 100.77/x
  3. Step 3: Cross multiply
    172.86x = 259.33 × 100.77
  4. Step 4: Simplify right side
    172.86x = 26,132.68
  5. Step 5: Solve for x
    x = 26,132.68/172.86
  6. Step 6: Final answer
    x = 151.18

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.