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Finding the Fourth Proportional to 46.02, 68.82 and 35.09

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Solution

The fourth proportional to 46.02, 68.82 and 35.09 is: 52.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    46.02 : 68.82 = 35.09 : x
  2. Step 2: Convert to fraction form
    46.02/68.82 = 35.09/x
  3. Step 3: Cross multiply
    46.02x = 68.82 × 35.09
  4. Step 4: Simplify right side
    46.02x = 2,414.89
  5. Step 5: Solve for x
    x = 2,414.89/46.02
  6. Step 6: Final answer
    x = 52.47

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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.