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Finding the Fourth Proportional to 41.52, 57.12 and 31.80

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Solution

The fourth proportional to 41.52, 57.12 and 31.80 is: 43.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    41.52 : 57.12 = 31.80 : x
  2. Step 2: Convert to fraction form
    41.52/57.12 = 31.80/x
  3. Step 3: Cross multiply
    41.52x = 57.12 × 31.80
  4. Step 4: Simplify right side
    41.52x = 1,816.42
  5. Step 5: Solve for x
    x = 1,816.42/41.52
  6. Step 6: Final answer
    x = 43.75

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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.