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Finding the Fourth Proportional to 172.85, 238.58 and 102.97

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Solution

The fourth proportional to 172.85, 238.58 and 102.97 is: 142.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    172.85 : 238.58 = 102.97 : x
  2. Step 2: Convert to fraction form
    172.85/238.58 = 102.97/x
  3. Step 3: Cross multiply
    172.85x = 238.58 × 102.97
  4. Step 4: Simplify right side
    172.85x = 24,566.53
  5. Step 5: Solve for x
    x = 24,566.53/172.85
  6. Step 6: Final answer
    x = 142.12

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.