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Finding the Fourth Proportional to 38.26, 52.76 and 29.50

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Solution

The fourth proportional to 38.26, 52.76 and 29.50 is: 40.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    38.26 : 52.76 = 29.50 : x
  2. Step 2: Convert to fraction form
    38.26/52.76 = 29.50/x
  3. Step 3: Cross multiply
    38.26x = 52.76 × 29.50
  4. Step 4: Simplify right side
    38.26x = 1,556.42
  5. Step 5: Solve for x
    x = 1,556.42/38.26
  6. Step 6: Final answer
    x = 40.68

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.