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Finding the Fourth Proportional to 46.92, 70.28 and 28.86

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Solution

The fourth proportional to 46.92, 70.28 and 28.86 is: 43.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    46.92 : 70.28 = 28.86 : x
  2. Step 2: Convert to fraction form
    46.92/70.28 = 28.86/x
  3. Step 3: Cross multiply
    46.92x = 70.28 × 28.86
  4. Step 4: Simplify right side
    46.92x = 2,028.28
  5. Step 5: Solve for x
    x = 2,028.28/46.92
  6. Step 6: Final answer
    x = 43.23

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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.