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Finding the Fourth Proportional to 172.25, 237.74 and 110.07

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Solution

The fourth proportional to 172.25, 237.74 and 110.07 is: 151.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    172.25 : 237.74 = 110.07 : x
  2. Step 2: Convert to fraction form
    172.25/237.74 = 110.07/x
  3. Step 3: Cross multiply
    172.25x = 237.74 × 110.07
  4. Step 4: Simplify right side
    172.25x = 26,167.01
  5. Step 5: Solve for x
    x = 26,167.01/172.25
  6. Step 6: Final answer
    x = 151.91

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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.