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Finding the Fourth Proportional to 41.02, 61.38 and 30.76

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Solution

The fourth proportional to 41.02, 61.38 and 30.76 is: 46.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    41.02 : 61.38 = 30.76 : x
  2. Step 2: Convert to fraction form
    41.02/61.38 = 30.76/x
  3. Step 3: Cross multiply
    41.02x = 61.38 × 30.76
  4. Step 4: Simplify right side
    41.02x = 1,888.05
  5. Step 5: Solve for x
    x = 1,888.05/41.02
  6. Step 6: Final answer
    x = 46.03

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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.