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Finding the Fourth Proportional to 89.16, 122.67 and 76.83

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Solution

The fourth proportional to 89.16, 122.67 and 76.83 is: 105.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    89.16 : 122.67 = 76.83 : x
  2. Step 2: Convert to fraction form
    89.16/122.67 = 76.83/x
  3. Step 3: Cross multiply
    89.16x = 122.67 × 76.83
  4. Step 4: Simplify right side
    89.16x = 9,424.74
  5. Step 5: Solve for x
    x = 9,424.74/89.16
  6. Step 6: Final answer
    x = 105.71

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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.