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Finding the Fourth Proportional to 172.51, 238.03 and 102.57

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Solution

The fourth proportional to 172.51, 238.03 and 102.57 is: 141.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    172.51 : 238.03 = 102.57 : x
  2. Step 2: Convert to fraction form
    172.51/238.03 = 102.57/x
  3. Step 3: Cross multiply
    172.51x = 238.03 × 102.57
  4. Step 4: Simplify right side
    172.51x = 24,414.74
  5. Step 5: Solve for x
    x = 24,414.74/172.51
  6. Step 6: Final answer
    x = 141.53

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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.