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Finding the Fourth Proportional to 34, 51.01 and 33.42

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Solution

The fourth proportional to 34, 51.01 and 33.42 is: 50.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    34 : 51.01 = 33.42 : x
  2. Step 2: Convert to fraction form
    34/51.01 = 33.42/x
  3. Step 3: Cross multiply
    34x = 51.01 × 33.42
  4. Step 4: Simplify right side
    34x = 1,704.75
  5. Step 5: Solve for x
    x = 1,704.75/34
  6. Step 6: Final answer
    x = 50.14

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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.