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Finding the Fourth Proportional to 41.80, 57.65 and 32.56

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Solution

The fourth proportional to 41.80, 57.65 and 32.56 is: 44.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    41.80 : 57.65 = 32.56 : x
  2. Step 2: Convert to fraction form
    41.80/57.65 = 32.56/x
  3. Step 3: Cross multiply
    41.80x = 57.65 × 32.56
  4. Step 4: Simplify right side
    41.80x = 1,877.08
  5. Step 5: Solve for x
    x = 1,877.08/41.80
  6. Step 6: Final answer
    x = 44.91

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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.