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Finding the Fourth Proportional to 40.96, 61.47 and 23.85

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Solution

The fourth proportional to 40.96, 61.47 and 23.85 is: 35.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    40.96 : 61.47 = 23.85 : x
  2. Step 2: Convert to fraction form
    40.96/61.47 = 23.85/x
  3. Step 3: Cross multiply
    40.96x = 61.47 × 23.85
  4. Step 4: Simplify right side
    40.96x = 1,466.06
  5. Step 5: Solve for x
    x = 1,466.06/40.96
  6. Step 6: Final answer
    x = 35.79

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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.