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Finding the Fourth Proportional to 172.86, 259.17 and 94.64

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Solution

The fourth proportional to 172.86, 259.17 and 94.64 is: 141.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    172.86 : 259.17 = 94.64 : x
  2. Step 2: Convert to fraction form
    172.86/259.17 = 94.64/x
  3. Step 3: Cross multiply
    172.86x = 259.17 × 94.64
  4. Step 4: Simplify right side
    172.86x = 24,529.18
  5. Step 5: Solve for x
    x = 24,529.18/172.86
  6. Step 6: Final answer
    x = 141.90

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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.