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Finding the Fourth Proportional to 34.69, 52.01 and 14.39

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Solution

The fourth proportional to 34.69, 52.01 and 14.39 is: 21.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    34.69 : 52.01 = 14.39 : x
  2. Step 2: Convert to fraction form
    34.69/52.01 = 14.39/x
  3. Step 3: Cross multiply
    34.69x = 52.01 × 14.39
  4. Step 4: Simplify right side
    34.69x = 748.42
  5. Step 5: Solve for x
    x = 748.42/34.69
  6. Step 6: Final answer
    x = 21.57

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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.