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Finding the Fourth Proportional to 89.06, 133.79 and 76.37

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Solution

The fourth proportional to 89.06, 133.79 and 76.37 is: 114.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    89.06 : 133.79 = 76.37 : x
  2. Step 2: Convert to fraction form
    89.06/133.79 = 76.37/x
  3. Step 3: Cross multiply
    89.06x = 133.79 × 76.37
  4. Step 4: Simplify right side
    89.06x = 10,216.49
  5. Step 5: Solve for x
    x = 10,216.49/89.06
  6. Step 6: Final answer
    x = 114.72

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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.