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Finding the Fourth Proportional to 40.78, 61.23 and 25.59

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Solution

The fourth proportional to 40.78, 61.23 and 25.59 is: 38.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    40.78 : 61.23 = 25.59 : x
  2. Step 2: Convert to fraction form
    40.78/61.23 = 25.59/x
  3. Step 3: Cross multiply
    40.78x = 61.23 × 25.59
  4. Step 4: Simplify right side
    40.78x = 1,566.88
  5. Step 5: Solve for x
    x = 1,566.88/40.78
  6. Step 6: Final answer
    x = 38.42

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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.