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Finding the Fourth Proportional to 46.47, 64.09 and 33.33

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Solution

The fourth proportional to 46.47, 64.09 and 33.33 is: 45.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    46.47 : 64.09 = 33.33 : x
  2. Step 2: Convert to fraction form
    46.47/64.09 = 33.33/x
  3. Step 3: Cross multiply
    46.47x = 64.09 × 33.33
  4. Step 4: Simplify right side
    46.47x = 2,136.12
  5. Step 5: Solve for x
    x = 2,136.12/46.47
  6. Step 6: Final answer
    x = 45.97

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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.