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Finding the Fourth Proportional to 89.45, 123.17 and 69.86

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Solution

The fourth proportional to 89.45, 123.17 and 69.86 is: 96.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    89.45 : 123.17 = 69.86 : x
  2. Step 2: Convert to fraction form
    89.45/123.17 = 69.86/x
  3. Step 3: Cross multiply
    89.45x = 123.17 × 69.86
  4. Step 4: Simplify right side
    89.45x = 8,605.01
  5. Step 5: Solve for x
    x = 8,605.01/89.45
  6. Step 6: Final answer
    x = 96.19

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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.