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Finding the Fourth Proportional to 172.69, 238.30 and 101.82

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Solution

The fourth proportional to 172.69, 238.30 and 101.82 is: 140.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    172.69 : 238.30 = 101.82 : x
  2. Step 2: Convert to fraction form
    172.69/238.30 = 101.82/x
  3. Step 3: Cross multiply
    172.69x = 238.30 × 101.82
  4. Step 4: Simplify right side
    172.69x = 24,263.71
  5. Step 5: Solve for x
    x = 24,263.71/172.69
  6. Step 6: Final answer
    x = 140.50

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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.