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Finding the Fourth Proportional to 89.81, 123.86 and 69.05

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Solution

The fourth proportional to 89.81, 123.86 and 69.05 is: 95.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    89.81 : 123.86 = 69.05 : x
  2. Step 2: Convert to fraction form
    89.81/123.86 = 69.05/x
  3. Step 3: Cross multiply
    89.81x = 123.86 × 69.05
  4. Step 4: Simplify right side
    89.81x = 8,553.02
  5. Step 5: Solve for x
    x = 8,553.02/89.81
  6. Step 6: Final answer
    x = 95.24

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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.