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Finding the Fourth Proportional to 41.16, 61.40 and 38.46

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Solution

The fourth proportional to 41.16, 61.40 and 38.46 is: 57.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    41.16 : 61.40 = 38.46 : x
  2. Step 2: Convert to fraction form
    41.16/61.40 = 38.46/x
  3. Step 3: Cross multiply
    41.16x = 61.40 × 38.46
  4. Step 4: Simplify right side
    41.16x = 2,361.25
  5. Step 5: Solve for x
    x = 2,361.25/41.16
  6. Step 6: Final answer
    x = 57.37

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.