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Finding the Fourth Proportional to 89.66, 123.80 and 83.11

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Solution

The fourth proportional to 89.66, 123.80 and 83.11 is: 114.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    89.66 : 123.80 = 83.11 : x
  2. Step 2: Convert to fraction form
    89.66/123.80 = 83.11/x
  3. Step 3: Cross multiply
    89.66x = 123.80 × 83.11
  4. Step 4: Simplify right side
    89.66x = 10,288.99
  5. Step 5: Solve for x
    x = 10,288.99/89.66
  6. Step 6: Final answer
    x = 114.75

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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.