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Finding the Fourth Proportional to 34.70, 51.96 and 19.50

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Solution

The fourth proportional to 34.70, 51.96 and 19.50 is: 29.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    34.70 : 51.96 = 19.50 : x
  2. Step 2: Convert to fraction form
    34.70/51.96 = 19.50/x
  3. Step 3: Cross multiply
    34.70x = 51.96 × 19.50
  4. Step 4: Simplify right side
    34.70x = 1,013.22
  5. Step 5: Solve for x
    x = 1,013.22/34.70
  6. Step 6: Final answer
    x = 29.20

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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.