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Finding the Fourth Proportional to 172.04, 237.40 and 102.09

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Solution

The fourth proportional to 172.04, 237.40 and 102.09 is: 140.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    172.04 : 237.40 = 102.09 : x
  2. Step 2: Convert to fraction form
    172.04/237.40 = 102.09/x
  3. Step 3: Cross multiply
    172.04x = 237.40 × 102.09
  4. Step 4: Simplify right side
    172.04x = 24,236.17
  5. Step 5: Solve for x
    x = 24,236.17/172.04
  6. Step 6: Final answer
    x = 140.88

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.