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Finding the Fourth Proportional to 81.23, 121.32 and 67.50

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Solution

The fourth proportional to 81.23, 121.32 and 67.50 is: 100.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    81.23 : 121.32 = 67.50 : x
  2. Step 2: Convert to fraction form
    81.23/121.32 = 67.50/x
  3. Step 3: Cross multiply
    81.23x = 121.32 × 67.50
  4. Step 4: Simplify right side
    81.23x = 8,189.10
  5. Step 5: Solve for x
    x = 8,189.10/81.23
  6. Step 6: Final answer
    x = 100.82

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.