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Finding the Fourth Proportional to 41.64, 57.36 and 33

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Solution

The fourth proportional to 41.64, 57.36 and 33 is: 45.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    41.64 : 57.36 = 33 : x
  2. Step 2: Convert to fraction form
    41.64/57.36 = 33/x
  3. Step 3: Cross multiply
    41.64x = 57.36 × 33
  4. Step 4: Simplify right side
    41.64x = 1,892.88
  5. Step 5: Solve for x
    x = 1,892.88/41.64
  6. Step 6: Final answer
    x = 45.46

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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.