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Finding the Fourth Proportional to 172.81, 238.50 and 102.86

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Solution

The fourth proportional to 172.81, 238.50 and 102.86 is: 141.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    172.81 : 238.50 = 102.86 : x
  2. Step 2: Convert to fraction form
    172.81/238.50 = 102.86/x
  3. Step 3: Cross multiply
    172.81x = 238.50 × 102.86
  4. Step 4: Simplify right side
    172.81x = 24,532.11
  5. Step 5: Solve for x
    x = 24,532.11/172.81
  6. Step 6: Final answer
    x = 141.96

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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.