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Finding the Fourth Proportional to 172.02, 257.90 and 63.78

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Solution

The fourth proportional to 172.02, 257.90 and 63.78 is: 95.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    172.02 : 257.90 = 63.78 : x
  2. Step 2: Convert to fraction form
    172.02/257.90 = 63.78/x
  3. Step 3: Cross multiply
    172.02x = 257.90 × 63.78
  4. Step 4: Simplify right side
    172.02x = 16,448.17
  5. Step 5: Solve for x
    x = 16,448.17/172.02
  6. Step 6: Final answer
    x = 95.62

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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.