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Finding the Fourth Proportional to 64.75, 89.41 and 41.48

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Solution

The fourth proportional to 64.75, 89.41 and 41.48 is: 57.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    64.75 : 89.41 = 41.48 : x
  2. Step 2: Convert to fraction form
    64.75/89.41 = 41.48/x
  3. Step 3: Cross multiply
    64.75x = 89.41 × 41.48
  4. Step 4: Simplify right side
    64.75x = 3,708.73
  5. Step 5: Solve for x
    x = 3,708.73/64.75
  6. Step 6: Final answer
    x = 57.28

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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.