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Finding the Fourth Proportional to 34.34, 51.62 and 24.23

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Solution

The fourth proportional to 34.34, 51.62 and 24.23 is: 36.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    34.34 : 51.62 = 24.23 : x
  2. Step 2: Convert to fraction form
    34.34/51.62 = 24.23/x
  3. Step 3: Cross multiply
    34.34x = 51.62 × 24.23
  4. Step 4: Simplify right side
    34.34x = 1,250.63
  5. Step 5: Solve for x
    x = 1,250.63/34.34
  6. Step 6: Final answer
    x = 36.42

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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.