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Finding the Fourth Proportional to 89.14, 123.06 and 80.95

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Solution

The fourth proportional to 89.14, 123.06 and 80.95 is: 111.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    89.14 : 123.06 = 80.95 : x
  2. Step 2: Convert to fraction form
    89.14/123.06 = 80.95/x
  3. Step 3: Cross multiply
    89.14x = 123.06 × 80.95
  4. Step 4: Simplify right side
    89.14x = 9,961.71
  5. Step 5: Solve for x
    x = 9,961.71/89.14
  6. Step 6: Final answer
    x = 111.75

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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.