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Finding the Fourth Proportional to 46.02, 69.35 and 41.97

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Solution

The fourth proportional to 46.02, 69.35 and 41.97 is: 63.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    46.02 : 69.35 = 41.97 : x
  2. Step 2: Convert to fraction form
    46.02/69.35 = 41.97/x
  3. Step 3: Cross multiply
    46.02x = 69.35 × 41.97
  4. Step 4: Simplify right side
    46.02x = 2,910.62
  5. Step 5: Solve for x
    x = 2,910.62/46.02
  6. Step 6: Final answer
    x = 63.25

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.