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Finding the Fourth Proportional to 40.85, 61.29 and 26.42

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Solution

The fourth proportional to 40.85, 61.29 and 26.42 is: 39.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    40.85 : 61.29 = 26.42 : x
  2. Step 2: Convert to fraction form
    40.85/61.29 = 26.42/x
  3. Step 3: Cross multiply
    40.85x = 61.29 × 26.42
  4. Step 4: Simplify right side
    40.85x = 1,618.98
  5. Step 5: Solve for x
    x = 1,618.98/40.85
  6. Step 6: Final answer
    x = 39.64

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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.