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Finding the Fourth Proportional to 89.45, 123.05 and 74.69

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Solution

The fourth proportional to 89.45, 123.05 and 74.69 is: 102.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    89.45 : 123.05 = 74.69 : x
  2. Step 2: Convert to fraction form
    89.45/123.05 = 74.69/x
  3. Step 3: Cross multiply
    89.45x = 123.05 × 74.69
  4. Step 4: Simplify right side
    89.45x = 9,190.23
  5. Step 5: Solve for x
    x = 9,190.23/89.45
  6. Step 6: Final answer
    x = 102.74

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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.