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Finding the Fourth Proportional to 172.44, 237.85 and 110.14

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Solution

The fourth proportional to 172.44, 237.85 and 110.14 is: 151.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    172.44 : 237.85 = 110.14 : x
  2. Step 2: Convert to fraction form
    172.44/237.85 = 110.14/x
  3. Step 3: Cross multiply
    172.44x = 237.85 × 110.14
  4. Step 4: Simplify right side
    172.44x = 26,196.80
  5. Step 5: Solve for x
    x = 26,196.80/172.44
  6. Step 6: Final answer
    x = 151.92

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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.