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Finding the Fourth Proportional to 81.80, 123.32 and 81.80

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Solution

The fourth proportional to 81.80, 123.32 and 81.80 is: 123.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    81.80 : 123.32 = 81.80 : x
  2. Step 2: Convert to fraction form
    81.80/123.32 = 81.80/x
  3. Step 3: Cross multiply
    81.80x = 123.32 × 81.80
  4. Step 4: Simplify right side
    81.80x = 10,087.58
  5. Step 5: Solve for x
    x = 10,087.58/81.80
  6. Step 6: Final answer
    x = 123.32

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.