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Finding the Fourth Proportional to 41.60, 57.16 and 38

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Solution

The fourth proportional to 41.60, 57.16 and 38 is: 52.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    41.60 : 57.16 = 38 : x
  2. Step 2: Convert to fraction form
    41.60/57.16 = 38/x
  3. Step 3: Cross multiply
    41.60x = 57.16 × 38
  4. Step 4: Simplify right side
    41.60x = 2,172.08
  5. Step 5: Solve for x
    x = 2,172.08/41.60
  6. Step 6: Final answer
    x = 52.21

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.