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Finding the Fourth Proportional to 89.86, 134.94 and 74.62

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Solution

The fourth proportional to 89.86, 134.94 and 74.62 is: 112.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    89.86 : 134.94 = 74.62 : x
  2. Step 2: Convert to fraction form
    89.86/134.94 = 74.62/x
  3. Step 3: Cross multiply
    89.86x = 134.94 × 74.62
  4. Step 4: Simplify right side
    89.86x = 10,069.22
  5. Step 5: Solve for x
    x = 10,069.22/89.86
  6. Step 6: Final answer
    x = 112.05

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.