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Finding the Fourth Proportional to 89.80, 123.64 and 80.54

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Solution

The fourth proportional to 89.80, 123.64 and 80.54 is: 110.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    89.80 : 123.64 = 80.54 : x
  2. Step 2: Convert to fraction form
    89.80/123.64 = 80.54/x
  3. Step 3: Cross multiply
    89.80x = 123.64 × 80.54
  4. Step 4: Simplify right side
    89.80x = 9,957.97
  5. Step 5: Solve for x
    x = 9,957.97/89.80
  6. Step 6: Final answer
    x = 110.89

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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.