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Finding the Fourth Proportional to 89.74, 123.16 and 80.83

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Solution

The fourth proportional to 89.74, 123.16 and 80.83 is: 110.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    89.74 : 123.16 = 80.83 : x
  2. Step 2: Convert to fraction form
    89.74/123.16 = 80.83/x
  3. Step 3: Cross multiply
    89.74x = 123.16 × 80.83
  4. Step 4: Simplify right side
    89.74x = 9,955.02
  5. Step 5: Solve for x
    x = 9,955.02/89.74
  6. Step 6: Final answer
    x = 110.93

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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.