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Finding the Fourth Proportional to 41.48, 57.24 and 30.55

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Solution

The fourth proportional to 41.48, 57.24 and 30.55 is: 42.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    41.48 : 57.24 = 30.55 : x
  2. Step 2: Convert to fraction form
    41.48/57.24 = 30.55/x
  3. Step 3: Cross multiply
    41.48x = 57.24 × 30.55
  4. Step 4: Simplify right side
    41.48x = 1,748.42
  5. Step 5: Solve for x
    x = 1,748.42/41.48
  6. Step 6: Final answer
    x = 42.15

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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.