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Finding the Fourth Proportional to 41.24, 56.77 and 32.01

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Solution

The fourth proportional to 41.24, 56.77 and 32.01 is: 44.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    41.24 : 56.77 = 32.01 : x
  2. Step 2: Convert to fraction form
    41.24/56.77 = 32.01/x
  3. Step 3: Cross multiply
    41.24x = 56.77 × 32.01
  4. Step 4: Simplify right side
    41.24x = 1,817.05
  5. Step 5: Solve for x
    x = 1,817.05/41.24
  6. Step 6: Final answer
    x = 44.07

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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.