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Finding the Fourth Proportional to 89.88, 134.96 and 76.44

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Solution

The fourth proportional to 89.88, 134.96 and 76.44 is: 114.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    89.88 : 134.96 = 76.44 : x
  2. Step 2: Convert to fraction form
    89.88/134.96 = 76.44/x
  3. Step 3: Cross multiply
    89.88x = 134.96 × 76.44
  4. Step 4: Simplify right side
    89.88x = 10,316.34
  5. Step 5: Solve for x
    x = 10,316.34/89.88
  6. Step 6: Final answer
    x = 114.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.