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Finding the Fourth Proportional to 46.50, 64.17 and 27.09

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Solution

The fourth proportional to 46.50, 64.17 and 27.09 is: 37.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    46.50 : 64.17 = 27.09 : x
  2. Step 2: Convert to fraction form
    46.50/64.17 = 27.09/x
  3. Step 3: Cross multiply
    46.50x = 64.17 × 27.09
  4. Step 4: Simplify right side
    46.50x = 1,738.37
  5. Step 5: Solve for x
    x = 1,738.37/46.50
  6. Step 6: Final answer
    x = 37.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.