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Finding the Fourth Proportional to 45.92, 69.01 and 30.81

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Solution

The fourth proportional to 45.92, 69.01 and 30.81 is: 46.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    45.92 : 69.01 = 30.81 : x
  2. Step 2: Convert to fraction form
    45.92/69.01 = 30.81/x
  3. Step 3: Cross multiply
    45.92x = 69.01 × 30.81
  4. Step 4: Simplify right side
    45.92x = 2,126.20
  5. Step 5: Solve for x
    x = 2,126.20/45.92
  6. Step 6: Final answer
    x = 46.30

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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.