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Finding the Fourth Proportional to 41.42, 57.16 and 23.00

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Solution

The fourth proportional to 41.42, 57.16 and 23.00 is: 31.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    41.42 : 57.16 = 23.00 : x
  2. Step 2: Convert to fraction form
    41.42/57.16 = 23.00/x
  3. Step 3: Cross multiply
    41.42x = 57.16 × 23.00
  4. Step 4: Simplify right side
    41.42x = 1,314.28
  5. Step 5: Solve for x
    x = 1,314.28/41.42
  6. Step 6: Final answer
    x = 31.73

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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.