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Finding the Fourth Proportional to 172.85, 238.53 and 95.23

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Solution

The fourth proportional to 172.85, 238.53 and 95.23 is: 131.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    172.85 : 238.53 = 95.23 : x
  2. Step 2: Convert to fraction form
    172.85/238.53 = 95.23/x
  3. Step 3: Cross multiply
    172.85x = 238.53 × 95.23
  4. Step 4: Simplify right side
    172.85x = 22,714.02
  5. Step 5: Solve for x
    x = 22,714.02/172.85
  6. Step 6: Final answer
    x = 131.41

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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.