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Finding the Fourth Proportional to 172.01, 237.36 and 102.05

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Solution

The fourth proportional to 172.01, 237.36 and 102.05 is: 140.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    172.01 : 237.36 = 102.05 : x
  2. Step 2: Convert to fraction form
    172.01/237.36 = 102.05/x
  3. Step 3: Cross multiply
    172.01x = 237.36 × 102.05
  4. Step 4: Simplify right side
    172.01x = 24,222.59
  5. Step 5: Solve for x
    x = 24,222.59/172.01
  6. Step 6: Final answer
    x = 140.82

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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.