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Finding the Fourth Proportional to 41.16, 62.06 and 40.82

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Solution

The fourth proportional to 41.16, 62.06 and 40.82 is: 61.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    41.16 : 62.06 = 40.82 : x
  2. Step 2: Convert to fraction form
    41.16/62.06 = 40.82/x
  3. Step 3: Cross multiply
    41.16x = 62.06 × 40.82
  4. Step 4: Simplify right side
    41.16x = 2,532.77
  5. Step 5: Solve for x
    x = 2,532.77/41.16
  6. Step 6: Final answer
    x = 61.53

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.