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Finding the Fourth Proportional to 89.69, 123.26 and 80.58

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Solution

The fourth proportional to 89.69, 123.26 and 80.58 is: 110.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    89.69 : 123.26 = 80.58 : x
  2. Step 2: Convert to fraction form
    89.69/123.26 = 80.58/x
  3. Step 3: Cross multiply
    89.69x = 123.26 × 80.58
  4. Step 4: Simplify right side
    89.69x = 9,932.34
  5. Step 5: Solve for x
    x = 9,932.34/89.69
  6. Step 6: Final answer
    x = 110.74

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.