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Finding the Fourth Proportional to 46.02, 68.94 and 27.92

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Solution

The fourth proportional to 46.02, 68.94 and 27.92 is: 41.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    46.02 : 68.94 = 27.92 : x
  2. Step 2: Convert to fraction form
    46.02/68.94 = 27.92/x
  3. Step 3: Cross multiply
    46.02x = 68.94 × 27.92
  4. Step 4: Simplify right side
    46.02x = 1,924.80
  5. Step 5: Solve for x
    x = 1,924.80/46.02
  6. Step 6: Final answer
    x = 41.83

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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.