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Finding the Fourth Proportional to 172.35, 237.80 and 97.65

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Solution

The fourth proportional to 172.35, 237.80 and 97.65 is: 134.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    172.35 : 237.80 = 97.65 : x
  2. Step 2: Convert to fraction form
    172.35/237.80 = 97.65/x
  3. Step 3: Cross multiply
    172.35x = 237.80 × 97.65
  4. Step 4: Simplify right side
    172.35x = 23,221.17
  5. Step 5: Solve for x
    x = 23,221.17/172.35
  6. Step 6: Final answer
    x = 134.73

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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.