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Finding the Fourth Proportional to 41.02, 61.74 and 40.62

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Solution

The fourth proportional to 41.02, 61.74 and 40.62 is: 61.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    41.02 : 61.74 = 40.62 : x
  2. Step 2: Convert to fraction form
    41.02/61.74 = 40.62/x
  3. Step 3: Cross multiply
    41.02x = 61.74 × 40.62
  4. Step 4: Simplify right side
    41.02x = 2,507.88
  5. Step 5: Solve for x
    x = 2,507.88/41.02
  6. Step 6: Final answer
    x = 61.14

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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.