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Finding the Fourth Proportional to 41.64, 57.38 and 32.36

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Solution

The fourth proportional to 41.64, 57.38 and 32.36 is: 44.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    41.64 : 57.38 = 32.36 : x
  2. Step 2: Convert to fraction form
    41.64/57.38 = 32.36/x
  3. Step 3: Cross multiply
    41.64x = 57.38 × 32.36
  4. Step 4: Simplify right side
    41.64x = 1,856.82
  5. Step 5: Solve for x
    x = 1,856.82/41.64
  6. Step 6: Final answer
    x = 44.59

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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.