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Finding the Fourth Proportional to 34.70, 51.68 and 34.42

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Solution

The fourth proportional to 34.70, 51.68 and 34.42 is: 51.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    34.70 : 51.68 = 34.42 : x
  2. Step 2: Convert to fraction form
    34.70/51.68 = 34.42/x
  3. Step 3: Cross multiply
    34.70x = 51.68 × 34.42
  4. Step 4: Simplify right side
    34.70x = 1,778.83
  5. Step 5: Solve for x
    x = 1,778.83/34.70
  6. Step 6: Final answer
    x = 51.26

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.