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Finding the Fourth Proportional to 41.10, 61.76 and 40.02

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Solution

The fourth proportional to 41.10, 61.76 and 40.02 is: 60.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    41.10 : 61.76 = 40.02 : x
  2. Step 2: Convert to fraction form
    41.10/61.76 = 40.02/x
  3. Step 3: Cross multiply
    41.10x = 61.76 × 40.02
  4. Step 4: Simplify right side
    41.10x = 2,471.64
  5. Step 5: Solve for x
    x = 2,471.64/41.10
  6. Step 6: Final answer
    x = 60.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.