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Finding the Fourth Proportional to 172.12, 237.42 and 113.80

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Solution

The fourth proportional to 172.12, 237.42 and 113.80 is: 156.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    172.12 : 237.42 = 113.80 : x
  2. Step 2: Convert to fraction form
    172.12/237.42 = 113.80/x
  3. Step 3: Cross multiply
    172.12x = 237.42 × 113.80
  4. Step 4: Simplify right side
    172.12x = 27,018.40
  5. Step 5: Solve for x
    x = 27,018.40/172.12
  6. Step 6: Final answer
    x = 156.97

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