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Finding the Fourth Proportional to 46.10, 69.41 and 36.60

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Solution

The fourth proportional to 46.10, 69.41 and 36.60 is: 55.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    46.10 : 69.41 = 36.60 : x
  2. Step 2: Convert to fraction form
    46.10/69.41 = 36.60/x
  3. Step 3: Cross multiply
    46.10x = 69.41 × 36.60
  4. Step 4: Simplify right side
    46.10x = 2,540.22
  5. Step 5: Solve for x
    x = 2,540.22/46.10
  6. Step 6: Final answer
    x = 55.11

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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.