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Finding the Fourth Proportional to 89.99, 123.82 and 83.49

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Solution

The fourth proportional to 89.99, 123.82 and 83.49 is: 114.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    89.99 : 123.82 = 83.49 : x
  2. Step 2: Convert to fraction form
    89.99/123.82 = 83.49/x
  3. Step 3: Cross multiply
    89.99x = 123.82 × 83.49
  4. Step 4: Simplify right side
    89.99x = 10,337.81
  5. Step 5: Solve for x
    x = 10,337.81/89.99
  6. Step 6: Final answer
    x = 114.88

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.