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Finding the Fourth Proportional to 64.54, 89.09 and 38.33

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Solution

The fourth proportional to 64.54, 89.09 and 38.33 is: 52.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    64.54 : 89.09 = 38.33 : x
  2. Step 2: Convert to fraction form
    64.54/89.09 = 38.33/x
  3. Step 3: Cross multiply
    64.54x = 89.09 × 38.33
  4. Step 4: Simplify right side
    64.54x = 3,414.82
  5. Step 5: Solve for x
    x = 3,414.82/64.54
  6. Step 6: Final answer
    x = 52.91

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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.