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Finding the Fourth Proportional to 89.22, 123.26 and 78.87

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Solution

The fourth proportional to 89.22, 123.26 and 78.87 is: 108.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    89.22 : 123.26 = 78.87 : x
  2. Step 2: Convert to fraction form
    89.22/123.26 = 78.87/x
  3. Step 3: Cross multiply
    89.22x = 123.26 × 78.87
  4. Step 4: Simplify right side
    89.22x = 9,721.12
  5. Step 5: Solve for x
    x = 9,721.12/89.22
  6. Step 6: Final answer
    x = 108.96

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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.