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Finding the Fourth Proportional to 46.01, 69.32 and 41.09

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Solution

The fourth proportional to 46.01, 69.32 and 41.09 is: 61.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    46.01 : 69.32 = 41.09 : x
  2. Step 2: Convert to fraction form
    46.01/69.32 = 41.09/x
  3. Step 3: Cross multiply
    46.01x = 69.32 × 41.09
  4. Step 4: Simplify right side
    46.01x = 2,847.81
  5. Step 5: Solve for x
    x = 2,847.81/46.01
  6. Step 6: Final answer
    x = 61.90

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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.