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Finding the Fourth Proportional to 34.90, 52.37 and 24.73

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Solution

The fourth proportional to 34.90, 52.37 and 24.73 is: 37.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    34.90 : 52.37 = 24.73 : x
  2. Step 2: Convert to fraction form
    34.90/52.37 = 24.73/x
  3. Step 3: Cross multiply
    34.90x = 52.37 × 24.73
  4. Step 4: Simplify right side
    34.90x = 1,295.11
  5. Step 5: Solve for x
    x = 1,295.11/34.90
  6. Step 6: Final answer
    x = 37.11

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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.