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Finding the Fourth Proportional to 41.56, 57.28 and 32.34

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Solution

The fourth proportional to 41.56, 57.28 and 32.34 is: 44.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    41.56 : 57.28 = 32.34 : x
  2. Step 2: Convert to fraction form
    41.56/57.28 = 32.34/x
  3. Step 3: Cross multiply
    41.56x = 57.28 × 32.34
  4. Step 4: Simplify right side
    41.56x = 1,852.44
  5. Step 5: Solve for x
    x = 1,852.44/41.56
  6. Step 6: Final answer
    x = 44.57

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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.