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Finding the Fourth Proportional to 89.47, 123.19 and 81.37

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Solution

The fourth proportional to 89.47, 123.19 and 81.37 is: 112.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    89.47 : 123.19 = 81.37 : x
  2. Step 2: Convert to fraction form
    89.47/123.19 = 81.37/x
  3. Step 3: Cross multiply
    89.47x = 123.19 × 81.37
  4. Step 4: Simplify right side
    89.47x = 10,023.56
  5. Step 5: Solve for x
    x = 10,023.56/89.47
  6. Step 6: Final answer
    x = 112.03

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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.