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Finding the Fourth Proportional to 172.28, 237.71 and 102.35

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Solution

The fourth proportional to 172.28, 237.71 and 102.35 is: 141.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    172.28 : 237.71 = 102.35 : x
  2. Step 2: Convert to fraction form
    172.28/237.71 = 102.35/x
  3. Step 3: Cross multiply
    172.28x = 237.71 × 102.35
  4. Step 4: Simplify right side
    172.28x = 24,327.92
  5. Step 5: Solve for x
    x = 24,327.92/172.28
  6. Step 6: Final answer
    x = 141.22

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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.