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Finding the Fourth Proportional to 172.34, 237.75 and 113.31

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Solution

The fourth proportional to 172.34, 237.75 and 113.31 is: 156.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    172.34 : 237.75 = 113.31 : x
  2. Step 2: Convert to fraction form
    172.34/237.75 = 113.31/x
  3. Step 3: Cross multiply
    172.34x = 237.75 × 113.31
  4. Step 4: Simplify right side
    172.34x = 26,937.70
  5. Step 5: Solve for x
    x = 26,937.70/172.34
  6. Step 6: Final answer
    x = 156.31

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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.