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Finding the Fourth Proportional to 50.70, 76.14 and 35.52

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Solution

The fourth proportional to 50.70, 76.14 and 35.52 is: 53.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    50.70 : 76.14 = 35.52 : x
  2. Step 2: Convert to fraction form
    50.70/76.14 = 35.52/x
  3. Step 3: Cross multiply
    50.70x = 76.14 × 35.52
  4. Step 4: Simplify right side
    50.70x = 2,704.49
  5. Step 5: Solve for x
    x = 2,704.49/50.70
  6. Step 6: Final answer
    x = 53.34

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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.