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Finding the Fourth Proportional to 89.29, 133.81 and 37.92

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Solution

The fourth proportional to 89.29, 133.81 and 37.92 is: 56.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    89.29 : 133.81 = 37.92 : x
  2. Step 2: Convert to fraction form
    89.29/133.81 = 37.92/x
  3. Step 3: Cross multiply
    89.29x = 133.81 × 37.92
  4. Step 4: Simplify right side
    89.29x = 5,074.08
  5. Step 5: Solve for x
    x = 5,074.08/89.29
  6. Step 6: Final answer
    x = 56.83

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Why These Related Problems?

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